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Finding the Third Proportional to 338,542 and 514,461

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Solution

The third proportional to 338,542 and 514,461 is: 781,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,542 : 514,461 = 514,461 : x
  2. Step 2: Convert to fraction form
    338,542/514,461 = 514,461/x
  3. Step 3: Cross multiply
    338,542x = 514,461 × 514,461
  4. Step 4: Simplify right side
    338,542x = 264,670,120,521
  5. Step 5: Solve for x
    x = 264,670,120,521/338,542
  6. Step 6: Final answer
    x = 781,794.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.