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Finding the Third Proportional to 412,347.74 and 638,473.72

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Solution

The third proportional to 412,347.74 and 638,473.72 is: 988,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,347.74 : 638,473.72 = 638,473.72 : x
  2. Step 2: Convert to fraction form
    412,347.74/638,473.72 = 638,473.72/x
  3. Step 3: Cross multiply
    412,347.74x = 638,473.72 × 638,473.72
  4. Step 4: Simplify right side
    412,347.74x = 407,648,690,781.46
  5. Step 5: Solve for x
    x = 407,648,690,781.46/412,347.74
  6. Step 6: Final answer
    x = 988,604.15

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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.