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Finding the Third Proportional to 288,598 and 618,668

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Solution

The third proportional to 288,598 and 618,668 is: 1,326,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,598 : 618,668 = 618,668 : x
  2. Step 2: Convert to fraction form
    288,598/618,668 = 618,668/x
  3. Step 3: Cross multiply
    288,598x = 618,668 × 618,668
  4. Step 4: Simplify right side
    288,598x = 382,750,094,224
  5. Step 5: Solve for x
    x = 382,750,094,224/288,598
  6. Step 6: Final answer
    x = 1,326,239.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.