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Finding the Third Proportional to 85,667,840 and 130,509,426

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Solution

The third proportional to 85,667,840 and 130,509,426 is: 198,822,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667,840 : 130,509,426 = 130,509,426 : x
  2. Step 2: Convert to fraction form
    85,667,840/130,509,426 = 130,509,426/x
  3. Step 3: Cross multiply
    85,667,840x = 130,509,426 × 130,509,426
  4. Step 4: Simplify right side
    85,667,840x = 17,032,710,274,849,476
  5. Step 5: Solve for x
    x = 17,032,710,274,849,476/85,667,840
  6. Step 6: Final answer
    x = 198,822,688.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.