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Finding the Third Proportional to 807.19 and 1,242.98

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Solution

The third proportional to 807.19 and 1,242.98 is: 1,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.19 : 1,242.98 = 1,242.98 : x
  2. Step 2: Convert to fraction form
    807.19/1,242.98 = 1,242.98/x
  3. Step 3: Cross multiply
    807.19x = 1,242.98 × 1,242.98
  4. Step 4: Simplify right side
    807.19x = 1,545,010.16
  5. Step 5: Solve for x
    x = 1,545,010.16/807.19
  6. Step 6: Final answer
    x = 1,914.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.