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Finding the Third Proportional to 137,012.13 and 215,214.47

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Solution

The third proportional to 137,012.13 and 215,214.47 is: 338,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,012.13 : 215,214.47 = 215,214.47 : x
  2. Step 2: Convert to fraction form
    137,012.13/215,214.47 = 215,214.47/x
  3. Step 3: Cross multiply
    137,012.13x = 215,214.47 × 215,214.47
  4. Step 4: Simplify right side
    137,012.13x = 46,317,267,559.34
  5. Step 5: Solve for x
    x = 46,317,267,559.34/137,012.13
  6. Step 6: Final answer
    x = 338,052.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.