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Finding the Third Proportional to 102,780 and 157,788

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Solution

The third proportional to 102,780 and 157,788 is: 242,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780 : 157,788 = 157,788 : x
  2. Step 2: Convert to fraction form
    102,780/157,788 = 157,788/x
  3. Step 3: Cross multiply
    102,780x = 157,788 × 157,788
  4. Step 4: Simplify right side
    102,780x = 24,897,052,944
  5. Step 5: Solve for x
    x = 24,897,052,944/102,780
  6. Step 6: Final answer
    x = 242,236.36

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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.