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Finding the Third Proportional to 815,228.72 and 1,770,929.58

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Solution

The third proportional to 815,228.72 and 1,770,929.58 is: 3,847,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,228.72 : 1,770,929.58 = 1,770,929.58 : x
  2. Step 2: Convert to fraction form
    815,228.72/1,770,929.58 = 1,770,929.58/x
  3. Step 3: Cross multiply
    815,228.72x = 1,770,929.58 × 1,770,929.58
  4. Step 4: Simplify right side
    815,228.72x = 3,136,191,570,677.99
  5. Step 5: Solve for x
    x = 3,136,191,570,677.99/815,228.72
  6. Step 6: Final answer
    x = 3,847,008.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.