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Finding the Third Proportional to 142,959.38 and 305,551.13

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Solution

The third proportional to 142,959.38 and 305,551.13 is: 653,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,959.38 : 305,551.13 = 305,551.13 : x
  2. Step 2: Convert to fraction form
    142,959.38/305,551.13 = 305,551.13/x
  3. Step 3: Cross multiply
    142,959.38x = 305,551.13 × 305,551.13
  4. Step 4: Simplify right side
    142,959.38x = 93,361,489,988.77
  5. Step 5: Solve for x
    x = 93,361,489,988.77/142,959.38
  6. Step 6: Final answer
    x = 653,063.08

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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.