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Finding the Third Proportional to 29,581 and 64,507

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Solution

The third proportional to 29,581 and 64,507 is: 140,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,581 : 64,507 = 64,507 : x
  2. Step 2: Convert to fraction form
    29,581/64,507 = 64,507/x
  3. Step 3: Cross multiply
    29,581x = 64,507 × 64,507
  4. Step 4: Simplify right side
    29,581x = 4,161,153,049
  5. Step 5: Solve for x
    x = 4,161,153,049/29,581
  6. Step 6: Final answer
    x = 140,669.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.