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Finding the Third Proportional to 608,790 and 865,320

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Solution

The third proportional to 608,790 and 865,320 is: 1,229,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,790 : 865,320 = 865,320 : x
  2. Step 2: Convert to fraction form
    608,790/865,320 = 865,320/x
  3. Step 3: Cross multiply
    608,790x = 865,320 × 865,320
  4. Step 4: Simplify right side
    608,790x = 748,778,702,400
  5. Step 5: Solve for x
    x = 748,778,702,400/608,790
  6. Step 6: Final answer
    x = 1,229,945.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.