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Finding the Third Proportional to 510.56 and 774.94

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Solution

The third proportional to 510.56 and 774.94 is: 1,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 774.94 = 774.94 : x
  2. Step 2: Convert to fraction form
    510.56/774.94 = 774.94/x
  3. Step 3: Cross multiply
    510.56x = 774.94 × 774.94
  4. Step 4: Simplify right side
    510.56x = 600,528.13
  5. Step 5: Solve for x
    x = 600,528.13/510.56
  6. Step 6: Final answer
    x = 1,176.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.