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Finding the Third Proportional to 488,720.25 and 861,522.75

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Solution

The third proportional to 488,720.25 and 861,522.75 is: 1,518,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,720.25 : 861,522.75 = 861,522.75 : x
  2. Step 2: Convert to fraction form
    488,720.25/861,522.75 = 861,522.75/x
  3. Step 3: Cross multiply
    488,720.25x = 861,522.75 × 861,522.75
  4. Step 4: Simplify right side
    488,720.25x = 742,221,448,767.56
  5. Step 5: Solve for x
    x = 742,221,448,767.56/488,720.25
  6. Step 6: Final answer
    x = 1,518,704.10

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.