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Finding the Third Proportional to 314.16 and 686.53

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Solution

The third proportional to 314.16 and 686.53 is: 1,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 686.53 = 686.53 : x
  2. Step 2: Convert to fraction form
    314.16/686.53 = 686.53/x
  3. Step 3: Cross multiply
    314.16x = 686.53 × 686.53
  4. Step 4: Simplify right side
    314.16x = 471,325.16
  5. Step 5: Solve for x
    x = 471,325.16/314.16
  6. Step 6: Final answer
    x = 1,500.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.