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Finding the Third Proportional to 64,713.38 and 138,423.38

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Solution

The third proportional to 64,713.38 and 138,423.38 is: 296,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,713.38 : 138,423.38 = 138,423.38 : x
  2. Step 2: Convert to fraction form
    64,713.38/138,423.38 = 138,423.38/x
  3. Step 3: Cross multiply
    64,713.38x = 138,423.38 × 138,423.38
  4. Step 4: Simplify right side
    64,713.38x = 19,161,030,746.39
  5. Step 5: Solve for x
    x = 19,161,030,746.39/64,713.38
  6. Step 6: Final answer
    x = 296,090.73

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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.