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Finding the Third Proportional to 338,548 and 514,470

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Solution

The third proportional to 338,548 and 514,470 is: 781,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,548 : 514,470 = 514,470 : x
  2. Step 2: Convert to fraction form
    338,548/514,470 = 514,470/x
  3. Step 3: Cross multiply
    338,548x = 514,470 × 514,470
  4. Step 4: Simplify right side
    338,548x = 264,679,380,900
  5. Step 5: Solve for x
    x = 264,679,380,900/338,548
  6. Step 6: Final answer
    x = 781,807.55

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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.