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Finding the Third Proportional to 66,995 and 147,139

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Solution

The third proportional to 66,995 and 147,139 is: 323,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,995 : 147,139 = 147,139 : x
  2. Step 2: Convert to fraction form
    66,995/147,139 = 147,139/x
  3. Step 3: Cross multiply
    66,995x = 147,139 × 147,139
  4. Step 4: Simplify right side
    66,995x = 21,649,885,321
  5. Step 5: Solve for x
    x = 21,649,885,321/66,995
  6. Step 6: Final answer
    x = 323,156.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.