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Finding the Third Proportional to 147,386.25 and 315,781.88

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Solution

The third proportional to 147,386.25 and 315,781.88 is: 676,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,386.25 : 315,781.88 = 315,781.88 : x
  2. Step 2: Convert to fraction form
    147,386.25/315,781.88 = 315,781.88/x
  3. Step 3: Cross multiply
    147,386.25x = 315,781.88 × 315,781.88
  4. Step 4: Simplify right side
    147,386.25x = 99,718,192,578.52
  5. Step 5: Solve for x
    x = 99,718,192,578.52/147,386.25
  6. Step 6: Final answer
    x = 676,577.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.