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Finding the Third Proportional to 66,987 and 89,358

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Solution

The third proportional to 66,987 and 89,358 is: 119,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,987 : 89,358 = 89,358 : x
  2. Step 2: Convert to fraction form
    66,987/89,358 = 89,358/x
  3. Step 3: Cross multiply
    66,987x = 89,358 × 89,358
  4. Step 4: Simplify right side
    66,987x = 7,984,852,164
  5. Step 5: Solve for x
    x = 7,984,852,164/66,987
  6. Step 6: Final answer
    x = 119,200.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.