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Finding the Third Proportional to 636,838 and 865,343

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Solution

The third proportional to 636,838 and 865,343 is: 1,175,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,838 : 865,343 = 865,343 : x
  2. Step 2: Convert to fraction form
    636,838/865,343 = 865,343/x
  3. Step 3: Cross multiply
    636,838x = 865,343 × 865,343
  4. Step 4: Simplify right side
    636,838x = 748,818,507,649
  5. Step 5: Solve for x
    x = 748,818,507,649/636,838
  6. Step 6: Final answer
    x = 1,175,838.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.