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Finding the Third Proportional to 101,439 and 157,899

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Solution

The third proportional to 101,439 and 157,899 is: 245,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,439 : 157,899 = 157,899 : x
  2. Step 2: Convert to fraction form
    101,439/157,899 = 157,899/x
  3. Step 3: Cross multiply
    101,439x = 157,899 × 157,899
  4. Step 4: Simplify right side
    101,439x = 24,932,094,201
  5. Step 5: Solve for x
    x = 24,932,094,201/101,439
  6. Step 6: Final answer
    x = 245,784.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.