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Finding the Third Proportional to 77,469.38 and 119,707.21

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Solution

The third proportional to 77,469.38 and 119,707.21 is: 184,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,469.38 : 119,707.21 = 119,707.21 : x
  2. Step 2: Convert to fraction form
    77,469.38/119,707.21 = 119,707.21/x
  3. Step 3: Cross multiply
    77,469.38x = 119,707.21 × 119,707.21
  4. Step 4: Simplify right side
    77,469.38x = 14,329,817,322.18
  5. Step 5: Solve for x
    x = 14,329,817,322.18/77,469.38
  6. Step 6: Final answer
    x = 184,973.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.