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Finding the Third Proportional to 29,407 and 64,146

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Solution

The third proportional to 29,407 and 64,146 is: 139,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407 : 64,146 = 64,146 : x
  2. Step 2: Convert to fraction form
    29,407/64,146 = 64,146/x
  3. Step 3: Cross multiply
    29,407x = 64,146 × 64,146
  4. Step 4: Simplify right side
    29,407x = 4,114,709,316
  5. Step 5: Solve for x
    x = 4,114,709,316/29,407
  6. Step 6: Final answer
    x = 139,922.78

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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.