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Finding the Third Proportional to 64,726 and 138,450

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Solution

The third proportional to 64,726 and 138,450 is: 296,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,726 : 138,450 = 138,450 : x
  2. Step 2: Convert to fraction form
    64,726/138,450 = 138,450/x
  3. Step 3: Cross multiply
    64,726x = 138,450 × 138,450
  4. Step 4: Simplify right side
    64,726x = 19,168,402,500
  5. Step 5: Solve for x
    x = 19,168,402,500/64,726
  6. Step 6: Final answer
    x = 296,146.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.