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Finding the Third Proportional to 807.31 and 1,210.97

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Solution

The third proportional to 807.31 and 1,210.97 is: 1,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.31 : 1,210.97 = 1,210.97 : x
  2. Step 2: Convert to fraction form
    807.31/1,210.97 = 1,210.97/x
  3. Step 3: Cross multiply
    807.31x = 1,210.97 × 1,210.97
  4. Step 4: Simplify right side
    807.31x = 1,466,438.22
  5. Step 5: Solve for x
    x = 1,466,438.22/807.31
  6. Step 6: Final answer
    x = 1,816.45

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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.