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Finding the Third Proportional to 133,452 and 290,136

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Solution

The third proportional to 133,452 and 290,136 is: 630,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,452 : 290,136 = 290,136 : x
  2. Step 2: Convert to fraction form
    133,452/290,136 = 290,136/x
  3. Step 3: Cross multiply
    133,452x = 290,136 × 290,136
  4. Step 4: Simplify right side
    133,452x = 84,178,898,496
  5. Step 5: Solve for x
    x = 84,178,898,496/133,452
  6. Step 6: Final answer
    x = 630,780.34

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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.