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Finding the Third Proportional to 399,068 and 861,440

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Solution

The third proportional to 399,068 and 861,440 is: 1,859,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,068 : 861,440 = 861,440 : x
  2. Step 2: Convert to fraction form
    399,068/861,440 = 861,440/x
  3. Step 3: Cross multiply
    399,068x = 861,440 × 861,440
  4. Step 4: Simplify right side
    399,068x = 742,078,873,600
  5. Step 5: Solve for x
    x = 742,078,873,600/399,068
  6. Step 6: Final answer
    x = 1,859,529.89

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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.