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Finding the Third Proportional to 543.56 and 776.44

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Solution

The third proportional to 543.56 and 776.44 is: 1,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 776.44 = 776.44 : x
  2. Step 2: Convert to fraction form
    543.56/776.44 = 776.44/x
  3. Step 3: Cross multiply
    543.56x = 776.44 × 776.44
  4. Step 4: Simplify right side
    543.56x = 602,855.19
  5. Step 5: Solve for x
    x = 602,855.19/543.56
  6. Step 6: Final answer
    x = 1,109.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.