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Finding the Third Proportional to 66,499 and 142,214

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Solution

The third proportional to 66,499 and 142,214 is: 304,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,499 : 142,214 = 142,214 : x
  2. Step 2: Convert to fraction form
    66,499/142,214 = 142,214/x
  3. Step 3: Cross multiply
    66,499x = 142,214 × 142,214
  4. Step 4: Simplify right side
    66,499x = 20,224,821,796
  5. Step 5: Solve for x
    x = 20,224,821,796/66,499
  6. Step 6: Final answer
    x = 304,137.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.