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Finding the Third Proportional to 71,521.31 and 105,092.44

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Solution

The third proportional to 71,521.31 and 105,092.44 is: 154,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,521.31 : 105,092.44 = 105,092.44 : x
  2. Step 2: Convert to fraction form
    71,521.31/105,092.44 = 105,092.44/x
  3. Step 3: Cross multiply
    71,521.31x = 105,092.44 × 105,092.44
  4. Step 4: Simplify right side
    71,521.31x = 11,044,420,419.69
  5. Step 5: Solve for x
    x = 11,044,420,419.69/71,521.31
  6. Step 6: Final answer
    x = 154,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.