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Finding the Third Proportional to 314.63 and 691.63

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Solution

The third proportional to 314.63 and 691.63 is: 1,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 691.63 = 691.63 : x
  2. Step 2: Convert to fraction form
    314.63/691.63 = 691.63/x
  3. Step 3: Cross multiply
    314.63x = 691.63 × 691.63
  4. Step 4: Simplify right side
    314.63x = 478,345.14
  5. Step 5: Solve for x
    x = 478,345.14/314.63
  6. Step 6: Final answer
    x = 1,520.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.