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Finding the Third Proportional to 356,466 and 742,419

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Solution

The third proportional to 356,466 and 742,419 is: 1,546,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,466 : 742,419 = 742,419 : x
  2. Step 2: Convert to fraction form
    356,466/742,419 = 742,419/x
  3. Step 3: Cross multiply
    356,466x = 742,419 × 742,419
  4. Step 4: Simplify right side
    356,466x = 551,185,971,561
  5. Step 5: Solve for x
    x = 551,185,971,561/356,466
  6. Step 6: Final answer
    x = 1,546,251.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.