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Finding the Third Proportional to 864.50 and 1,297.75

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Solution

The third proportional to 864.50 and 1,297.75 is: 1,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.50 : 1,297.75 = 1,297.75 : x
  2. Step 2: Convert to fraction form
    864.50/1,297.75 = 1,297.75/x
  3. Step 3: Cross multiply
    864.50x = 1,297.75 × 1,297.75
  4. Step 4: Simplify right side
    864.50x = 1,684,155.06
  5. Step 5: Solve for x
    x = 1,684,155.06/864.50
  6. Step 6: Final answer
    x = 1,948.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.