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Finding the Third Proportional to 268,800 and 572,928

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Solution

The third proportional to 268,800 and 572,928 is: 1,221,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,800 : 572,928 = 572,928 : x
  2. Step 2: Convert to fraction form
    268,800/572,928 = 572,928/x
  3. Step 3: Cross multiply
    268,800x = 572,928 × 572,928
  4. Step 4: Simplify right side
    268,800x = 328,246,493,184
  5. Step 5: Solve for x
    x = 328,246,493,184/268,800
  6. Step 6: Final answer
    x = 1,221,155.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.