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Finding the Third Proportional to 131,666 and 283,313

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Solution

The third proportional to 131,666 and 283,313 is: 609,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,666 : 283,313 = 283,313 : x
  2. Step 2: Convert to fraction form
    131,666/283,313 = 283,313/x
  3. Step 3: Cross multiply
    131,666x = 283,313 × 283,313
  4. Step 4: Simplify right side
    131,666x = 80,266,255,969
  5. Step 5: Solve for x
    x = 80,266,255,969/131,666
  6. Step 6: Final answer
    x = 609,620.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.