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Finding the Third Proportional to 784.78 and 1,215.84

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Solution

The third proportional to 784.78 and 1,215.84 is: 1,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.78 : 1,215.84 = 1,215.84 : x
  2. Step 2: Convert to fraction form
    784.78/1,215.84 = 1,215.84/x
  3. Step 3: Cross multiply
    784.78x = 1,215.84 × 1,215.84
  4. Step 4: Simplify right side
    784.78x = 1,478,276.02
  5. Step 5: Solve for x
    x = 1,478,276.02/784.78
  6. Step 6: Final answer
    x = 1,883.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.