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Finding the Third Proportional to 488.69 and 756.84

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Solution

The third proportional to 488.69 and 756.84 is: 1,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.69 : 756.84 = 756.84 : x
  2. Step 2: Convert to fraction form
    488.69/756.84 = 756.84/x
  3. Step 3: Cross multiply
    488.69x = 756.84 × 756.84
  4. Step 4: Simplify right side
    488.69x = 572,812.46
  5. Step 5: Solve for x
    x = 572,812.46/488.69
  6. Step 6: Final answer
    x = 1,172.14

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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.