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Finding the Third Proportional to 381,060 and 560,574

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Solution

The third proportional to 381,060 and 560,574 is: 824,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,060 : 560,574 = 560,574 : x
  2. Step 2: Convert to fraction form
    381,060/560,574 = 560,574/x
  3. Step 3: Cross multiply
    381,060x = 560,574 × 560,574
  4. Step 4: Simplify right side
    381,060x = 314,243,209,476
  5. Step 5: Solve for x
    x = 314,243,209,476/381,060
  6. Step 6: Final answer
    x = 824,655.46

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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.