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Finding the Third Proportional to 131,520 and 291,136

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Solution

The third proportional to 131,520 and 291,136 is: 644,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,520 : 291,136 = 291,136 : x
  2. Step 2: Convert to fraction form
    131,520/291,136 = 291,136/x
  3. Step 3: Cross multiply
    131,520x = 291,136 × 291,136
  4. Step 4: Simplify right side
    131,520x = 84,760,170,496
  5. Step 5: Solve for x
    x = 84,760,170,496/131,520
  6. Step 6: Final answer
    x = 644,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.