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Finding the Third Proportional to 29,656 and 64,172

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Solution

The third proportional to 29,656 and 64,172 is: 138,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656 : 64,172 = 64,172 : x
  2. Step 2: Convert to fraction form
    29,656/64,172 = 64,172/x
  3. Step 3: Cross multiply
    29,656x = 64,172 × 64,172
  4. Step 4: Simplify right side
    29,656x = 4,118,045,584
  5. Step 5: Solve for x
    x = 4,118,045,584/29,656
  6. Step 6: Final answer
    x = 138,860.45

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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.