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Finding the Third Proportional to 29,729 and 64,987

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Solution

The third proportional to 29,729 and 64,987 is: 142,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729 : 64,987 = 64,987 : x
  2. Step 2: Convert to fraction form
    29,729/64,987 = 64,987/x
  3. Step 3: Cross multiply
    29,729x = 64,987 × 64,987
  4. Step 4: Simplify right side
    29,729x = 4,223,310,169
  5. Step 5: Solve for x
    x = 4,223,310,169/29,729
  6. Step 6: Final answer
    x = 142,060.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.