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Finding the Third Proportional to 338,552 and 514,479

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Solution

The third proportional to 338,552 and 514,479 is: 781,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,552 : 514,479 = 514,479 : x
  2. Step 2: Convert to fraction form
    338,552/514,479 = 514,479/x
  3. Step 3: Cross multiply
    338,552x = 514,479 × 514,479
  4. Step 4: Simplify right side
    338,552x = 264,688,641,441
  5. Step 5: Solve for x
    x = 264,688,641,441/338,552
  6. Step 6: Final answer
    x = 781,825.66

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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.