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Finding the Third Proportional to 84,746.25 and 128,212.88

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Solution

The third proportional to 84,746.25 and 128,212.88 is: 193,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,746.25 : 128,212.88 = 128,212.88 : x
  2. Step 2: Convert to fraction form
    84,746.25/128,212.88 = 128,212.88/x
  3. Step 3: Cross multiply
    84,746.25x = 128,212.88 × 128,212.88
  4. Step 4: Simplify right side
    84,746.25x = 16,438,541,315.77
  5. Step 5: Solve for x
    x = 16,438,541,315.77/84,746.25
  6. Step 6: Final answer
    x = 193,973.67

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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.