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Finding the Third Proportional to 157,114.69 and 242,779.78

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Solution

The third proportional to 157,114.69 and 242,779.78 is: 375,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.69 : 242,779.78 = 242,779.78 : x
  2. Step 2: Convert to fraction form
    157,114.69/242,779.78 = 242,779.78/x
  3. Step 3: Cross multiply
    157,114.69x = 242,779.78 × 242,779.78
  4. Step 4: Simplify right side
    157,114.69x = 58,942,022,183.80
  5. Step 5: Solve for x
    x = 58,942,022,183.80/157,114.69
  6. Step 6: Final answer
    x = 375,152.85

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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.