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Finding the Third Proportional to 438,786 and 655,305.75

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Solution

The third proportional to 438,786 and 655,305.75 is: 978,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,786 : 655,305.75 = 655,305.75 : x
  2. Step 2: Convert to fraction form
    438,786/655,305.75 = 655,305.75/x
  3. Step 3: Cross multiply
    438,786x = 655,305.75 × 655,305.75
  4. Step 4: Simplify right side
    438,786x = 429,425,625,983.06
  5. Step 5: Solve for x
    x = 429,425,625,983.06/438,786
  6. Step 6: Final answer
    x = 978,667.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.