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Finding the Third Proportional to 386,660 and 544,510

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Solution

The third proportional to 386,660 and 544,510 is: 766,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,660 : 544,510 = 544,510 : x
  2. Step 2: Convert to fraction form
    386,660/544,510 = 544,510/x
  3. Step 3: Cross multiply
    386,660x = 544,510 × 544,510
  4. Step 4: Simplify right side
    386,660x = 296,491,140,100
  5. Step 5: Solve for x
    x = 296,491,140,100/386,660
  6. Step 6: Final answer
    x = 766,800.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.