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Finding the Third Proportional to 29,623 and 64,340

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Solution

The third proportional to 29,623 and 64,340 is: 139,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,623 : 64,340 = 64,340 : x
  2. Step 2: Convert to fraction form
    29,623/64,340 = 64,340/x
  3. Step 3: Cross multiply
    29,623x = 64,340 × 64,340
  4. Step 4: Simplify right side
    29,623x = 4,139,635,600
  5. Step 5: Solve for x
    x = 4,139,635,600/29,623
  6. Step 6: Final answer
    x = 139,743.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.