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Finding the Third Proportional to 485,131 and 747,937

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Solution

The third proportional to 485,131 and 747,937 is: 1,153,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,131 : 747,937 = 747,937 : x
  2. Step 2: Convert to fraction form
    485,131/747,937 = 747,937/x
  3. Step 3: Cross multiply
    485,131x = 747,937 × 747,937
  4. Step 4: Simplify right side
    485,131x = 559,409,755,969
  5. Step 5: Solve for x
    x = 559,409,755,969/485,131
  6. Step 6: Final answer
    x = 1,153,110.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.