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Finding the Third Proportional to 756.14 and 1,210.78

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Solution

The third proportional to 756.14 and 1,210.78 is: 1,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.14 : 1,210.78 = 1,210.78 : x
  2. Step 2: Convert to fraction form
    756.14/1,210.78 = 1,210.78/x
  3. Step 3: Cross multiply
    756.14x = 1,210.78 × 1,210.78
  4. Step 4: Simplify right side
    756.14x = 1,465,991.24
  5. Step 5: Solve for x
    x = 1,465,991.24/756.14
  6. Step 6: Final answer
    x = 1,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.