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Finding the Third Proportional to 729.25 and 1,574.25

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Solution

The third proportional to 729.25 and 1,574.25 is: 3,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.25 : 1,574.25 = 1,574.25 : x
  2. Step 2: Convert to fraction form
    729.25/1,574.25 = 1,574.25/x
  3. Step 3: Cross multiply
    729.25x = 1,574.25 × 1,574.25
  4. Step 4: Simplify right side
    729.25x = 2,478,263.06
  5. Step 5: Solve for x
    x = 2,478,263.06/729.25
  6. Step 6: Final answer
    x = 3,398.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.