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Finding the Third Proportional to 137,651.91 and 291,827.81

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Solution

The third proportional to 137,651.91 and 291,827.81 is: 618,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,651.91 : 291,827.81 = 291,827.81 : x
  2. Step 2: Convert to fraction form
    137,651.91/291,827.81 = 291,827.81/x
  3. Step 3: Cross multiply
    137,651.91x = 291,827.81 × 291,827.81
  4. Step 4: Simplify right side
    137,651.91x = 85,163,472,148.54
  5. Step 5: Solve for x
    x = 85,163,472,148.54/137,651.91
  6. Step 6: Final answer
    x = 618,687.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.