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Finding the Third Proportional to 77,403 and 158,088

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Solution

The third proportional to 77,403 and 158,088 is: 322,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403 : 158,088 = 158,088 : x
  2. Step 2: Convert to fraction form
    77,403/158,088 = 158,088/x
  3. Step 3: Cross multiply
    77,403x = 158,088 × 158,088
  4. Step 4: Simplify right side
    77,403x = 24,991,815,744
  5. Step 5: Solve for x
    x = 24,991,815,744/77,403
  6. Step 6: Final answer
    x = 322,879.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.