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Finding the Third Proportional to 488,612.25 and 747,449.25

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Solution

The third proportional to 488,612.25 and 747,449.25 is: 1,143,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,612.25 : 747,449.25 = 747,449.25 : x
  2. Step 2: Convert to fraction form
    488,612.25/747,449.25 = 747,449.25/x
  3. Step 3: Cross multiply
    488,612.25x = 747,449.25 × 747,449.25
  4. Step 4: Simplify right side
    488,612.25x = 558,680,381,325.56
  5. Step 5: Solve for x
    x = 558,680,381,325.56/488,612.25
  6. Step 6: Final answer
    x = 1,143,402.32

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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.