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Finding the Third Proportional to 137,617.31 and 212,689.13

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Solution

The third proportional to 137,617.31 and 212,689.13 is: 328,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617.31 : 212,689.13 = 212,689.13 : x
  2. Step 2: Convert to fraction form
    137,617.31/212,689.13 = 212,689.13/x
  3. Step 3: Cross multiply
    137,617.31x = 212,689.13 × 212,689.13
  4. Step 4: Simplify right side
    137,617.31x = 45,236,663,893.27
  5. Step 5: Solve for x
    x = 45,236,663,893.27/137,617.31
  6. Step 6: Final answer
    x = 328,713.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.