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Finding the Third Proportional to 522.54 and 693.40

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Solution

The third proportional to 522.54 and 693.40 is: 920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 693.40 = 693.40 : x
  2. Step 2: Convert to fraction form
    522.54/693.40 = 693.40/x
  3. Step 3: Cross multiply
    522.54x = 693.40 × 693.40
  4. Step 4: Simplify right side
    522.54x = 480,809.52
  5. Step 5: Solve for x
    x = 480,809.52/522.54
  6. Step 6: Final answer
    x = 920.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.