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Finding the Third Proportional to 66,486 and 142,313

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Solution

The third proportional to 66,486 and 142,313 is: 304,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,486 : 142,313 = 142,313 : x
  2. Step 2: Convert to fraction form
    66,486/142,313 = 142,313/x
  3. Step 3: Cross multiply
    66,486x = 142,313 × 142,313
  4. Step 4: Simplify right side
    66,486x = 20,252,989,969
  5. Step 5: Solve for x
    x = 20,252,989,969/66,486
  6. Step 6: Final answer
    x = 304,620.37

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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.