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Finding the Third Proportional to 103,830 and 157,797

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Solution

The third proportional to 103,830 and 157,797 is: 239,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830 : 157,797 = 157,797 : x
  2. Step 2: Convert to fraction form
    103,830/157,797 = 157,797/x
  3. Step 3: Cross multiply
    103,830x = 157,797 × 157,797
  4. Step 4: Simplify right side
    103,830x = 24,899,893,209
  5. Step 5: Solve for x
    x = 24,899,893,209/103,830
  6. Step 6: Final answer
    x = 239,814.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.