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Finding the Third Proportional to 133,988 and 291,304

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Solution

The third proportional to 133,988 and 291,304 is: 633,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,988 : 291,304 = 291,304 : x
  2. Step 2: Convert to fraction form
    133,988/291,304 = 291,304/x
  3. Step 3: Cross multiply
    133,988x = 291,304 × 291,304
  4. Step 4: Simplify right side
    133,988x = 84,858,020,416
  5. Step 5: Solve for x
    x = 84,858,020,416/133,988
  6. Step 6: Final answer
    x = 633,325.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.