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Finding the Third Proportional to 766.75 and 1,214.63

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Solution

The third proportional to 766.75 and 1,214.63 is: 1,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.75 : 1,214.63 = 1,214.63 : x
  2. Step 2: Convert to fraction form
    766.75/1,214.63 = 1,214.63/x
  3. Step 3: Cross multiply
    766.75x = 1,214.63 × 1,214.63
  4. Step 4: Simplify right side
    766.75x = 1,475,313.89
  5. Step 5: Solve for x
    x = 1,475,313.89/766.75
  6. Step 6: Final answer
    x = 1,924.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.