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Finding the Third Proportional to 102,336.75 and 157,879.13

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Solution

The third proportional to 102,336.75 and 157,879.13 is: 243,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,336.75 : 157,879.13 = 157,879.13 : x
  2. Step 2: Convert to fraction form
    102,336.75/157,879.13 = 157,879.13/x
  3. Step 3: Cross multiply
    102,336.75x = 157,879.13 × 157,879.13
  4. Step 4: Simplify right side
    102,336.75x = 24,925,818,110.77
  5. Step 5: Solve for x
    x = 24,925,818,110.77/102,336.75
  6. Step 6: Final answer
    x = 243,566.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.