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Finding the Third Proportional to 66,147 and 144,713

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Solution

The third proportional to 66,147 and 144,713 is: 316,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,147 : 144,713 = 144,713 : x
  2. Step 2: Convert to fraction form
    66,147/144,713 = 144,713/x
  3. Step 3: Cross multiply
    66,147x = 144,713 × 144,713
  4. Step 4: Simplify right side
    66,147x = 20,941,852,369
  5. Step 5: Solve for x
    x = 20,941,852,369/66,147
  6. Step 6: Final answer
    x = 316,595.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.