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Finding the Third Proportional to 431,658 and 948,972

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Solution

The third proportional to 431,658 and 948,972 is: 2,086,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,658 : 948,972 = 948,972 : x
  2. Step 2: Convert to fraction form
    431,658/948,972 = 948,972/x
  3. Step 3: Cross multiply
    431,658x = 948,972 × 948,972
  4. Step 4: Simplify right side
    431,658x = 900,547,856,784
  5. Step 5: Solve for x
    x = 900,547,856,784/431,658
  6. Step 6: Final answer
    x = 2,086,253.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.