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Finding the Third Proportional to 143,614 and 306,775

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Solution

The third proportional to 143,614 and 306,775 is: 655,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,614 : 306,775 = 306,775 : x
  2. Step 2: Convert to fraction form
    143,614/306,775 = 306,775/x
  3. Step 3: Cross multiply
    143,614x = 306,775 × 306,775
  4. Step 4: Simplify right side
    143,614x = 94,110,900,625
  5. Step 5: Solve for x
    x = 94,110,900,625/143,614
  6. Step 6: Final answer
    x = 655,304.50

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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.