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Finding the Third Proportional to 100,359 and 151,389

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Solution

The third proportional to 100,359 and 151,389 is: 228,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,359 : 151,389 = 151,389 : x
  2. Step 2: Convert to fraction form
    100,359/151,389 = 151,389/x
  3. Step 3: Cross multiply
    100,359x = 151,389 × 151,389
  4. Step 4: Simplify right side
    100,359x = 22,918,629,321
  5. Step 5: Solve for x
    x = 22,918,629,321/100,359
  6. Step 6: Final answer
    x = 228,366.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.