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Finding the Third Proportional to 491,470 and 740,674

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Solution

The third proportional to 491,470 and 740,674 is: 1,116,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,470 : 740,674 = 740,674 : x
  2. Step 2: Convert to fraction form
    491,470/740,674 = 740,674/x
  3. Step 3: Cross multiply
    491,470x = 740,674 × 740,674
  4. Step 4: Simplify right side
    491,470x = 548,597,974,276
  5. Step 5: Solve for x
    x = 548,597,974,276/491,470
  6. Step 6: Final answer
    x = 1,116,238.99

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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.