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Finding the Third Proportional to 86,312 and 135,624

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Solution

The third proportional to 86,312 and 135,624 is: 213,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,312 : 135,624 = 135,624 : x
  2. Step 2: Convert to fraction form
    86,312/135,624 = 135,624/x
  3. Step 3: Cross multiply
    86,312x = 135,624 × 135,624
  4. Step 4: Simplify right side
    86,312x = 18,393,869,376
  5. Step 5: Solve for x
    x = 18,393,869,376/86,312
  6. Step 6: Final answer
    x = 213,109.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.