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Finding the Third Proportional to 388.97 and 572.06

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Solution

The third proportional to 388.97 and 572.06 is: 841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 572.06 = 572.06 : x
  2. Step 2: Convert to fraction form
    388.97/572.06 = 572.06/x
  3. Step 3: Cross multiply
    388.97x = 572.06 × 572.06
  4. Step 4: Simplify right side
    388.97x = 327,255.50
  5. Step 5: Solve for x
    x = 327,255.50/388.97
  6. Step 6: Final answer
    x = 841.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.