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Finding the Third Proportional to 163,899 and 253,126.69

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Solution

The third proportional to 163,899 and 253,126.69 is: 390,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,899 : 253,126.69 = 253,126.69 : x
  2. Step 2: Convert to fraction form
    163,899/253,126.69 = 253,126.69/x
  3. Step 3: Cross multiply
    163,899x = 253,126.69 × 253,126.69
  4. Step 4: Simplify right side
    163,899x = 64,073,119,924.72
  5. Step 5: Solve for x
    x = 64,073,119,924.72/163,899
  6. Step 6: Final answer
    x = 390,930.51

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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.