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Finding the Third Proportional to 645,513.75 and 1,418,418.56

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Solution

The third proportional to 645,513.75 and 1,418,418.56 is: 3,116,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,513.75 : 1,418,418.56 = 1,418,418.56 : x
  2. Step 2: Convert to fraction form
    645,513.75/1,418,418.56 = 1,418,418.56/x
  3. Step 3: Cross multiply
    645,513.75x = 1,418,418.56 × 1,418,418.56
  4. Step 4: Simplify right side
    645,513.75x = 2,011,911,218,444.57
  5. Step 5: Solve for x
    x = 2,011,911,218,444.57/645,513.75
  6. Step 6: Final answer
    x = 3,116,759.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.