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Finding the Third Proportional to 522.07 and 784.05

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Solution

The third proportional to 522.07 and 784.05 is: 1,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.07 : 784.05 = 784.05 : x
  2. Step 2: Convert to fraction form
    522.07/784.05 = 784.05/x
  3. Step 3: Cross multiply
    522.07x = 784.05 × 784.05
  4. Step 4: Simplify right side
    522.07x = 614,741.75
  5. Step 5: Solve for x
    x = 614,741.75/522.07
  6. Step 6: Final answer
    x = 1,177.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.