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Finding the Third Proportional to 438,102.56 and 694,675.13

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Solution

The third proportional to 438,102.56 and 694,675.13 is: 1,101,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,102.56 : 694,675.13 = 694,675.13 : x
  2. Step 2: Convert to fraction form
    438,102.56/694,675.13 = 694,675.13/x
  3. Step 3: Cross multiply
    438,102.56x = 694,675.13 × 694,675.13
  4. Step 4: Simplify right side
    438,102.56x = 482,573,529,293.77
  5. Step 5: Solve for x
    x = 482,573,529,293.77/438,102.56
  6. Step 6: Final answer
    x = 1,101,508.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.