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Finding the Third Proportional to 409,418 and 602,419

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Solution

The third proportional to 409,418 and 602,419 is: 886,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,418 : 602,419 = 602,419 : x
  2. Step 2: Convert to fraction form
    409,418/602,419 = 602,419/x
  3. Step 3: Cross multiply
    409,418x = 602,419 × 602,419
  4. Step 4: Simplify right side
    409,418x = 362,908,651,561
  5. Step 5: Solve for x
    x = 362,908,651,561/409,418
  6. Step 6: Final answer
    x = 886,401.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.