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Finding the Third Proportional to 134,136 and 290,142

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Solution

The third proportional to 134,136 and 290,142 is: 627,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,136 : 290,142 = 290,142 : x
  2. Step 2: Convert to fraction form
    134,136/290,142 = 290,142/x
  3. Step 3: Cross multiply
    134,136x = 290,142 × 290,142
  4. Step 4: Simplify right side
    134,136x = 84,182,380,164
  5. Step 5: Solve for x
    x = 84,182,380,164/134,136
  6. Step 6: Final answer
    x = 627,589.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.