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Finding the Third Proportional to 136,176 and 290,496

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Solution

The third proportional to 136,176 and 290,496 is: 619,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176 : 290,496 = 290,496 : x
  2. Step 2: Convert to fraction form
    136,176/290,496 = 290,496/x
  3. Step 3: Cross multiply
    136,176x = 290,496 × 290,496
  4. Step 4: Simplify right side
    136,176x = 84,387,926,016
  5. Step 5: Solve for x
    x = 84,387,926,016/136,176
  6. Step 6: Final answer
    x = 619,697.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.