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Finding the Third Proportional to 381,213 and 560,731.50

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Solution

The third proportional to 381,213 and 560,731.50 is: 824,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,213 : 560,731.50 = 560,731.50 : x
  2. Step 2: Convert to fraction form
    381,213/560,731.50 = 560,731.50/x
  3. Step 3: Cross multiply
    381,213x = 560,731.50 × 560,731.50
  4. Step 4: Simplify right side
    381,213x = 314,419,815,092.25
  5. Step 5: Solve for x
    x = 314,419,815,092.25/381,213
  6. Step 6: Final answer
    x = 824,787.76

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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.