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Finding the Third Proportional to 131,481 and 282,672

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Solution

The third proportional to 131,481 and 282,672 is: 607,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,481 : 282,672 = 282,672 : x
  2. Step 2: Convert to fraction form
    131,481/282,672 = 282,672/x
  3. Step 3: Cross multiply
    131,481x = 282,672 × 282,672
  4. Step 4: Simplify right side
    131,481x = 79,903,459,584
  5. Step 5: Solve for x
    x = 79,903,459,584/131,481
  6. Step 6: Final answer
    x = 607,718.68

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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.