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Finding the Third Proportional to 408,223.69 and 865,117.13

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Solution

The third proportional to 408,223.69 and 865,117.13 is: 1,833,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,223.69 : 865,117.13 = 865,117.13 : x
  2. Step 2: Convert to fraction form
    408,223.69/865,117.13 = 865,117.13/x
  3. Step 3: Cross multiply
    408,223.69x = 865,117.13 × 865,117.13
  4. Step 4: Simplify right side
    408,223.69x = 748,427,639,968.27
  5. Step 5: Solve for x
    x = 748,427,639,968.27/408,223.69
  6. Step 6: Final answer
    x = 1,833,376.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.