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Finding the Third Proportional to 64,677 and 137,180.25

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Solution

The third proportional to 64,677 and 137,180.25 is: 290,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,677 : 137,180.25 = 137,180.25 : x
  2. Step 2: Convert to fraction form
    64,677/137,180.25 = 137,180.25/x
  3. Step 3: Cross multiply
    64,677x = 137,180.25 × 137,180.25
  4. Step 4: Simplify right side
    64,677x = 18,818,420,990.06
  5. Step 5: Solve for x
    x = 18,818,420,990.06/64,677
  6. Step 6: Final answer
    x = 290,960.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.