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Finding the Third Proportional to 245,448 and 387,952

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Solution

The third proportional to 245,448 and 387,952 is: 613,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,448 : 387,952 = 387,952 : x
  2. Step 2: Convert to fraction form
    245,448/387,952 = 387,952/x
  3. Step 3: Cross multiply
    245,448x = 387,952 × 387,952
  4. Step 4: Simplify right side
    245,448x = 150,506,754,304
  5. Step 5: Solve for x
    x = 150,506,754,304/245,448
  6. Step 6: Final answer
    x = 613,192.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.