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Finding the Third Proportional to 680,811.75 and 903,106.13

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Solution

The third proportional to 680,811.75 and 903,106.13 is: 1,197,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,811.75 : 903,106.13 = 903,106.13 : x
  2. Step 2: Convert to fraction form
    680,811.75/903,106.13 = 903,106.13/x
  3. Step 3: Cross multiply
    680,811.75x = 903,106.13 × 903,106.13
  4. Step 4: Simplify right side
    680,811.75x = 815,600,673,012.52
  5. Step 5: Solve for x
    x = 815,600,673,012.52/680,811.75
  6. Step 6: Final answer
    x = 1,197,982.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.