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Finding the Third Proportional to 64,023 and 85,663.50

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Solution

The third proportional to 64,023 and 85,663.50 is: 114,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,023 : 85,663.50 = 85,663.50 : x
  2. Step 2: Convert to fraction form
    64,023/85,663.50 = 85,663.50/x
  3. Step 3: Cross multiply
    64,023x = 85,663.50 × 85,663.50
  4. Step 4: Simplify right side
    64,023x = 7,338,235,232.25
  5. Step 5: Solve for x
    x = 7,338,235,232.25/64,023
  6. Step 6: Final answer
    x = 114,618.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.