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Finding the Third Proportional to 572.13 and 777.13

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Solution

The third proportional to 572.13 and 777.13 is: 1,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.13 : 777.13 = 777.13 : x
  2. Step 2: Convert to fraction form
    572.13/777.13 = 777.13/x
  3. Step 3: Cross multiply
    572.13x = 777.13 × 777.13
  4. Step 4: Simplify right side
    572.13x = 603,923.27
  5. Step 5: Solve for x
    x = 603,923.27/572.13
  6. Step 6: Final answer
    x = 1,055.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.