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Finding the Third Proportional to 84,746.86 and 128,213.72

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Solution

The third proportional to 84,746.86 and 128,213.72 is: 193,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,746.86 : 128,213.72 = 128,213.72 : x
  2. Step 2: Convert to fraction form
    84,746.86/128,213.72 = 128,213.72/x
  3. Step 3: Cross multiply
    84,746.86x = 128,213.72 × 128,213.72
  4. Step 4: Simplify right side
    84,746.86x = 16,438,757,675.70
  5. Step 5: Solve for x
    x = 16,438,757,675.70/84,746.86
  6. Step 6: Final answer
    x = 193,974.83

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1.5x scale

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.