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Finding the Third Proportional to 349,215.75 and 762,401.25

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Solution

The third proportional to 349,215.75 and 762,401.25 is: 1,664,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215.75 : 762,401.25 = 762,401.25 : x
  2. Step 2: Convert to fraction form
    349,215.75/762,401.25 = 762,401.25/x
  3. Step 3: Cross multiply
    349,215.75x = 762,401.25 × 762,401.25
  4. Step 4: Simplify right side
    349,215.75x = 581,255,666,001.56
  5. Step 5: Solve for x
    x = 581,255,666,001.56/349,215.75
  6. Step 6: Final answer
    x = 1,664,460.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.