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Finding the Third Proportional to 357,432 and 769,776

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Solution

The third proportional to 357,432 and 769,776 is: 1,657,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,432 : 769,776 = 769,776 : x
  2. Step 2: Convert to fraction form
    357,432/769,776 = 769,776/x
  3. Step 3: Cross multiply
    357,432x = 769,776 × 769,776
  4. Step 4: Simplify right side
    357,432x = 592,555,090,176
  5. Step 5: Solve for x
    x = 592,555,090,176/357,432
  6. Step 6: Final answer
    x = 1,657,812.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.