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Finding the Third Proportional to 721,831.50 and 1,086,878.25

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Solution

The third proportional to 721,831.50 and 1,086,878.25 is: 1,636,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,831.50 : 1,086,878.25 = 1,086,878.25 : x
  2. Step 2: Convert to fraction form
    721,831.50/1,086,878.25 = 1,086,878.25/x
  3. Step 3: Cross multiply
    721,831.50x = 1,086,878.25 × 1,086,878.25
  4. Step 4: Simplify right side
    721,831.50x = 1,181,304,330,323.06
  5. Step 5: Solve for x
    x = 1,181,304,330,323.06/721,831.50
  6. Step 6: Final answer
    x = 1,636,537.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.