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Finding the Third Proportional to 131,428 and 297,952

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Solution

The third proportional to 131,428 and 297,952 is: 675,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,428 : 297,952 = 297,952 : x
  2. Step 2: Convert to fraction form
    131,428/297,952 = 297,952/x
  3. Step 3: Cross multiply
    131,428x = 297,952 × 297,952
  4. Step 4: Simplify right side
    131,428x = 88,775,394,304
  5. Step 5: Solve for x
    x = 88,775,394,304/131,428
  6. Step 6: Final answer
    x = 675,467.89

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.