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Finding the Third Proportional to 131,712 and 283,431

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Solution

The third proportional to 131,712 and 283,431 is: 609,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,712 : 283,431 = 283,431 : x
  2. Step 2: Convert to fraction form
    131,712/283,431 = 283,431/x
  3. Step 3: Cross multiply
    131,712x = 283,431 × 283,431
  4. Step 4: Simplify right side
    131,712x = 80,333,131,761
  5. Step 5: Solve for x
    x = 80,333,131,761/131,712
  6. Step 6: Final answer
    x = 609,915.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.