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Finding the Third Proportional to 385,384.50 and 547,791

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Solution

The third proportional to 385,384.50 and 547,791 is: 778,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,384.50 : 547,791 = 547,791 : x
  2. Step 2: Convert to fraction form
    385,384.50/547,791 = 547,791/x
  3. Step 3: Cross multiply
    385,384.50x = 547,791 × 547,791
  4. Step 4: Simplify right side
    385,384.50x = 300,074,979,681
  5. Step 5: Solve for x
    x = 300,074,979,681/385,384.50
  6. Step 6: Final answer
    x = 778,637.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.