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Finding the Third Proportional to 261,283.50 and 381,841.88

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Solution

The third proportional to 261,283.50 and 381,841.88 is: 558,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,283.50 : 381,841.88 = 381,841.88 : x
  2. Step 2: Convert to fraction form
    261,283.50/381,841.88 = 381,841.88/x
  3. Step 3: Cross multiply
    261,283.50x = 381,841.88 × 381,841.88
  4. Step 4: Simplify right side
    261,283.50x = 145,803,217,503.52
  5. Step 5: Solve for x
    x = 145,803,217,503.52/261,283.50
  6. Step 6: Final answer
    x = 558,026.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.