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Finding the Third Proportional to 29,561 and 64,871

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Solution

The third proportional to 29,561 and 64,871 is: 142,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561 : 64,871 = 64,871 : x
  2. Step 2: Convert to fraction form
    29,561/64,871 = 64,871/x
  3. Step 3: Cross multiply
    29,561x = 64,871 × 64,871
  4. Step 4: Simplify right side
    29,561x = 4,208,246,641
  5. Step 5: Solve for x
    x = 4,208,246,641/29,561
  6. Step 6: Final answer
    x = 142,358.06

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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.