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Finding the Third Proportional to 297.50 and 564.63

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Solution

The third proportional to 297.50 and 564.63 is: 1,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 564.63 = 564.63 : x
  2. Step 2: Convert to fraction form
    297.50/564.63 = 564.63/x
  3. Step 3: Cross multiply
    297.50x = 564.63 × 564.63
  4. Step 4: Simplify right side
    297.50x = 318,801.39
  5. Step 5: Solve for x
    x = 318,801.39/297.50
  6. Step 6: Final answer
    x = 1,071.60

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.