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Finding the Third Proportional to 426,143,442,928 and 927,305,297,432

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Solution

The third proportional to 426,143,442,928 and 927,305,297,432 is: 2,017,853,680,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,143,442,928 : 927,305,297,432 = 927,305,297,432 : x
  2. Step 2: Convert to fraction form
    426,143,442,928/927,305,297,432 = 927,305,297,432/x
  3. Step 3: Cross multiply
    426,143,442,928x = 927,305,297,432 × 927,305,297,432
  4. Step 4: Simplify right side
    426,143,442,928x = 859,895,114,645,449,935,421,440
  5. Step 5: Solve for x
    x = 859,895,114,645,449,935,421,440/426,143,442,928
  6. Step 6: Final answer
    x = 2,017,853,680,294.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.