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Finding the Third Proportional to 765 and 1,216.13

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Solution

The third proportional to 765 and 1,216.13 is: 1,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,216.13 = 1,216.13 : x
  2. Step 2: Convert to fraction form
    765/1,216.13 = 1,216.13/x
  3. Step 3: Cross multiply
    765x = 1,216.13 × 1,216.13
  4. Step 4: Simplify right side
    765x = 1,478,960.02
  5. Step 5: Solve for x
    x = 1,478,960.02/765
  6. Step 6: Final answer
    x = 1,933.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.