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Finding the Third Proportional to 381,440 and 560,490

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Solution

The third proportional to 381,440 and 560,490 is: 823,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,440 : 560,490 = 560,490 : x
  2. Step 2: Convert to fraction form
    381,440/560,490 = 560,490/x
  3. Step 3: Cross multiply
    381,440x = 560,490 × 560,490
  4. Step 4: Simplify right side
    381,440x = 314,149,040,100
  5. Step 5: Solve for x
    x = 314,149,040,100/381,440
  6. Step 6: Final answer
    x = 823,587.04

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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.