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Finding the Third Proportional to 72,458.72 and 157,788.84

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Solution

The third proportional to 72,458.72 and 157,788.84 is: 343,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,458.72 : 157,788.84 = 157,788.84 : x
  2. Step 2: Convert to fraction form
    72,458.72/157,788.84 = 157,788.84/x
  3. Step 3: Cross multiply
    72,458.72x = 157,788.84 × 157,788.84
  4. Step 4: Simplify right side
    72,458.72x = 24,897,319,211.96
  5. Step 5: Solve for x
    x = 24,897,319,211.96/72,458.72
  6. Step 6: Final answer
    x = 343,606.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.