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Finding the Third Proportional to 381,454 and 560,502

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Solution

The third proportional to 381,454 and 560,502 is: 823,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,454 : 560,502 = 560,502 : x
  2. Step 2: Convert to fraction form
    381,454/560,502 = 560,502/x
  3. Step 3: Cross multiply
    381,454x = 560,502 × 560,502
  4. Step 4: Simplify right side
    381,454x = 314,162,492,004
  5. Step 5: Solve for x
    x = 314,162,492,004/381,454
  6. Step 6: Final answer
    x = 823,592.08

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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.