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Finding the Third Proportional to 485,626 and 731,679

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Solution

The third proportional to 485,626 and 731,679 is: 1,102,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,626 : 731,679 = 731,679 : x
  2. Step 2: Convert to fraction form
    485,626/731,679 = 731,679/x
  3. Step 3: Cross multiply
    485,626x = 731,679 × 731,679
  4. Step 4: Simplify right side
    485,626x = 535,354,159,041
  5. Step 5: Solve for x
    x = 535,354,159,041/485,626
  6. Step 6: Final answer
    x = 1,102,400.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.