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Finding the Third Proportional to 575.72 and 915.47

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Solution

The third proportional to 575.72 and 915.47 is: 1,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.72 : 915.47 = 915.47 : x
  2. Step 2: Convert to fraction form
    575.72/915.47 = 915.47/x
  3. Step 3: Cross multiply
    575.72x = 915.47 × 915.47
  4. Step 4: Simplify right side
    575.72x = 838,083.03
  5. Step 5: Solve for x
    x = 838,083.03/575.72
  6. Step 6: Final answer
    x = 1,455.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.