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Finding the Third Proportional to 526.92 and 783.42

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Solution

The third proportional to 526.92 and 783.42 is: 1,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 783.42 = 783.42 : x
  2. Step 2: Convert to fraction form
    526.92/783.42 = 783.42/x
  3. Step 3: Cross multiply
    526.92x = 783.42 × 783.42
  4. Step 4: Simplify right side
    526.92x = 613,749.83
  5. Step 5: Solve for x
    x = 613,749.83/526.92
  6. Step 6: Final answer
    x = 1,164.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.