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Finding the Third Proportional to 749.65 and 1,547.70

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Solution

The third proportional to 749.65 and 1,547.70 is: 3,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.65 : 1,547.70 = 1,547.70 : x
  2. Step 2: Convert to fraction form
    749.65/1,547.70 = 1,547.70/x
  3. Step 3: Cross multiply
    749.65x = 1,547.70 × 1,547.70
  4. Step 4: Simplify right side
    749.65x = 2,395,378.92
  5. Step 5: Solve for x
    x = 2,395,378.92/749.65
  6. Step 6: Final answer
    x = 3,195.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.