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Finding the Third Proportional to 66,399 and 144,471

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Solution

The third proportional to 66,399 and 144,471 is: 314,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399 : 144,471 = 144,471 : x
  2. Step 2: Convert to fraction form
    66,399/144,471 = 144,471/x
  3. Step 3: Cross multiply
    66,399x = 144,471 × 144,471
  4. Step 4: Simplify right side
    66,399x = 20,871,869,841
  5. Step 5: Solve for x
    x = 20,871,869,841/66,399
  6. Step 6: Final answer
    x = 314,340.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.