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Finding the Third Proportional to 368,133.61 and 503,761.78

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Solution

The third proportional to 368,133.61 and 503,761.78 is: 689,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,133.61 : 503,761.78 = 503,761.78 : x
  2. Step 2: Convert to fraction form
    368,133.61/503,761.78 = 503,761.78/x
  3. Step 3: Cross multiply
    368,133.61x = 503,761.78 × 503,761.78
  4. Step 4: Simplify right side
    368,133.61x = 253,775,932,248.17
  5. Step 5: Solve for x
    x = 253,775,932,248.17/368,133.61
  6. Step 6: Final answer
    x = 689,358.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.