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Finding the Third Proportional to 288,048 and 618,743

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Solution

The third proportional to 288,048 and 618,743 is: 1,329,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048 : 618,743 = 618,743 : x
  2. Step 2: Convert to fraction form
    288,048/618,743 = 618,743/x
  3. Step 3: Cross multiply
    288,048x = 618,743 × 618,743
  4. Step 4: Simplify right side
    288,048x = 382,842,900,049
  5. Step 5: Solve for x
    x = 382,842,900,049/288,048
  6. Step 6: Final answer
    x = 1,329,094.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.