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Finding the Third Proportional to 261,908 and 387,952

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Solution

The third proportional to 261,908 and 387,952 is: 574,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,908 : 387,952 = 387,952 : x
  2. Step 2: Convert to fraction form
    261,908/387,952 = 387,952/x
  3. Step 3: Cross multiply
    261,908x = 387,952 × 387,952
  4. Step 4: Simplify right side
    261,908x = 150,506,754,304
  5. Step 5: Solve for x
    x = 150,506,754,304/261,908
  6. Step 6: Final answer
    x = 574,655.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.