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Finding the Third Proportional to 616,320 and 865,368

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Solution

The third proportional to 616,320 and 865,368 is: 1,215,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,320 : 865,368 = 865,368 : x
  2. Step 2: Convert to fraction form
    616,320/865,368 = 865,368/x
  3. Step 3: Cross multiply
    616,320x = 865,368 × 865,368
  4. Step 4: Simplify right side
    616,320x = 748,861,775,424
  5. Step 5: Solve for x
    x = 748,861,775,424/616,320
  6. Step 6: Final answer
    x = 1,215,053.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.