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Finding the Third Proportional to 777.88 and 1,214.13

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Solution

The third proportional to 777.88 and 1,214.13 is: 1,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.88 : 1,214.13 = 1,214.13 : x
  2. Step 2: Convert to fraction form
    777.88/1,214.13 = 1,214.13/x
  3. Step 3: Cross multiply
    777.88x = 1,214.13 × 1,214.13
  4. Step 4: Simplify right side
    777.88x = 1,474,099.52
  5. Step 5: Solve for x
    x = 1,474,099.52/777.88
  6. Step 6: Final answer
    x = 1,895.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.