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Finding the Third Proportional to 66,487 and 144,050

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Solution

The third proportional to 66,487 and 144,050 is: 312,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,487 : 144,050 = 144,050 : x
  2. Step 2: Convert to fraction form
    66,487/144,050 = 144,050/x
  3. Step 3: Cross multiply
    66,487x = 144,050 × 144,050
  4. Step 4: Simplify right side
    66,487x = 20,750,402,500
  5. Step 5: Solve for x
    x = 20,750,402,500/66,487
  6. Step 6: Final answer
    x = 312,097.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.