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Finding the Third Proportional to 131,370 and 282,450

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Solution

The third proportional to 131,370 and 282,450 is: 607,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,370 : 282,450 = 282,450 : x
  2. Step 2: Convert to fraction form
    131,370/282,450 = 282,450/x
  3. Step 3: Cross multiply
    131,370x = 282,450 × 282,450
  4. Step 4: Simplify right side
    131,370x = 79,778,002,500
  5. Step 5: Solve for x
    x = 79,778,002,500/131,370
  6. Step 6: Final answer
    x = 607,277.18

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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.