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Finding the Third Proportional to 572.75 and 921.88

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Solution

The third proportional to 572.75 and 921.88 is: 1,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 921.88 = 921.88 : x
  2. Step 2: Convert to fraction form
    572.75/921.88 = 921.88/x
  3. Step 3: Cross multiply
    572.75x = 921.88 × 921.88
  4. Step 4: Simplify right side
    572.75x = 849,853.52
  5. Step 5: Solve for x
    x = 849,853.52/572.75
  6. Step 6: Final answer
    x = 1,483.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.