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Finding the Third Proportional to 803,520.75 and 1,215,649.13

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Solution

The third proportional to 803,520.75 and 1,215,649.13 is: 1,839,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,520.75 : 1,215,649.13 = 1,215,649.13 : x
  2. Step 2: Convert to fraction form
    803,520.75/1,215,649.13 = 1,215,649.13/x
  3. Step 3: Cross multiply
    803,520.75x = 1,215,649.13 × 1,215,649.13
  4. Step 4: Simplify right side
    803,520.75x = 1,477,802,795,113.27
  5. Step 5: Solve for x
    x = 1,477,802,795,113.27/803,520.75
  6. Step 6: Final answer
    x = 1,839,159.47

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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.