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Finding the Third Proportional to 29,685.50 and 63,979

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Solution

The third proportional to 29,685.50 and 63,979 is: 137,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.50 : 63,979 = 63,979 : x
  2. Step 2: Convert to fraction form
    29,685.50/63,979 = 63,979/x
  3. Step 3: Cross multiply
    29,685.50x = 63,979 × 63,979
  4. Step 4: Simplify right side
    29,685.50x = 4,093,312,441
  5. Step 5: Solve for x
    x = 4,093,312,441/29,685.50
  6. Step 6: Final answer
    x = 137,889.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.