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Finding the Third Proportional to 575 and 647

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Solution

The third proportional to 575 and 647 is: 728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 647 = 647 : x
  2. Step 2: Convert to fraction form
    575/647 = 647/x
  3. Step 3: Cross multiply
    575x = 647 × 647
  4. Step 4: Simplify right side
    575x = 418,609
  5. Step 5: Solve for x
    x = 418,609/575
  6. Step 6: Final answer
    x = 728.02

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.