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Finding the Third Proportional to 740.25 and 1,709.30

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Solution

The third proportional to 740.25 and 1,709.30 is: 3,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.25 : 1,709.30 = 1,709.30 : x
  2. Step 2: Convert to fraction form
    740.25/1,709.30 = 1,709.30/x
  3. Step 3: Cross multiply
    740.25x = 1,709.30 × 1,709.30
  4. Step 4: Simplify right side
    740.25x = 2,921,695.81
  5. Step 5: Solve for x
    x = 2,921,695.81/740.25
  6. Step 6: Final answer
    x = 3,946.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.