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Finding the Third Proportional to 142,860.38 and 307,531.13

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Solution

The third proportional to 142,860.38 and 307,531.13 is: 662,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,860.38 : 307,531.13 = 307,531.13 : x
  2. Step 2: Convert to fraction form
    142,860.38/307,531.13 = 307,531.13/x
  3. Step 3: Cross multiply
    142,860.38x = 307,531.13 × 307,531.13
  4. Step 4: Simplify right side
    142,860.38x = 94,575,392,843.77
  5. Step 5: Solve for x
    x = 94,575,392,843.77/142,860.38
  6. Step 6: Final answer
    x = 662,012.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.