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Finding the Third Proportional to 411,074 and 614,931

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Solution

The third proportional to 411,074 and 614,931 is: 919,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,074 : 614,931 = 614,931 : x
  2. Step 2: Convert to fraction form
    411,074/614,931 = 614,931/x
  3. Step 3: Cross multiply
    411,074x = 614,931 × 614,931
  4. Step 4: Simplify right side
    411,074x = 378,140,134,761
  5. Step 5: Solve for x
    x = 378,140,134,761/411,074
  6. Step 6: Final answer
    x = 919,883.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.