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Finding the Third Proportional to 64,519.50 and 138,926.50

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Solution

The third proportional to 64,519.50 and 138,926.50 is: 299,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,519.50 : 138,926.50 = 138,926.50 : x
  2. Step 2: Convert to fraction form
    64,519.50/138,926.50 = 138,926.50/x
  3. Step 3: Cross multiply
    64,519.50x = 138,926.50 × 138,926.50
  4. Step 4: Simplify right side
    64,519.50x = 19,300,572,402.25
  5. Step 5: Solve for x
    x = 19,300,572,402.25/64,519.50
  6. Step 6: Final answer
    x = 299,143.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.