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Finding the Third Proportional to 807.47 and 1,209.94

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Solution

The third proportional to 807.47 and 1,209.94 is: 1,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.47 : 1,209.94 = 1,209.94 : x
  2. Step 2: Convert to fraction form
    807.47/1,209.94 = 1,209.94/x
  3. Step 3: Cross multiply
    807.47x = 1,209.94 × 1,209.94
  4. Step 4: Simplify right side
    807.47x = 1,463,948.75
  5. Step 5: Solve for x
    x = 1,463,948.75/807.47
  6. Step 6: Final answer
    x = 1,813.01

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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.