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Finding the Third Proportional to 766.55 and 1,215.63

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Solution

The third proportional to 766.55 and 1,215.63 is: 1,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,215.63 = 1,215.63 : x
  2. Step 2: Convert to fraction form
    766.55/1,215.63 = 1,215.63/x
  3. Step 3: Cross multiply
    766.55x = 1,215.63 × 1,215.63
  4. Step 4: Simplify right side
    766.55x = 1,477,763.13
  5. Step 5: Solve for x
    x = 1,477,763.13/766.55
  6. Step 6: Final answer
    x = 1,927.82

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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.