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Finding the Third Proportional to 77,909.34 and 168,277.50

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Solution

The third proportional to 77,909.34 and 168,277.50 is: 363,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,909.34 : 168,277.50 = 168,277.50 : x
  2. Step 2: Convert to fraction form
    77,909.34/168,277.50 = 168,277.50/x
  3. Step 3: Cross multiply
    77,909.34x = 168,277.50 × 168,277.50
  4. Step 4: Simplify right side
    77,909.34x = 28,317,317,006.25
  5. Step 5: Solve for x
    x = 28,317,317,006.25/77,909.34
  6. Step 6: Final answer
    x = 363,464.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.