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Finding the Third Proportional to 488,961.56 and 747,979.31

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Solution

The third proportional to 488,961.56 and 747,979.31 is: 1,144,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,961.56 : 747,979.31 = 747,979.31 : x
  2. Step 2: Convert to fraction form
    488,961.56/747,979.31 = 747,979.31/x
  3. Step 3: Cross multiply
    488,961.56x = 747,979.31 × 747,979.31
  4. Step 4: Simplify right side
    488,961.56x = 559,473,051,927.97
  5. Step 5: Solve for x
    x = 559,473,051,927.97/488,961.56
  6. Step 6: Final answer
    x = 1,144,206.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.