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Finding the Third Proportional to 399,064 and 861,432

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Solution

The third proportional to 399,064 and 861,432 is: 1,859,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,064 : 861,432 = 861,432 : x
  2. Step 2: Convert to fraction form
    399,064/861,432 = 861,432/x
  3. Step 3: Cross multiply
    399,064x = 861,432 × 861,432
  4. Step 4: Simplify right side
    399,064x = 742,065,090,624
  5. Step 5: Solve for x
    x = 742,065,090,624/399,064
  6. Step 6: Final answer
    x = 1,859,513.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.