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Finding the Third Proportional to 715.78 and 1,075.92

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Solution

The third proportional to 715.78 and 1,075.92 is: 1,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.78 : 1,075.92 = 1,075.92 : x
  2. Step 2: Convert to fraction form
    715.78/1,075.92 = 1,075.92/x
  3. Step 3: Cross multiply
    715.78x = 1,075.92 × 1,075.92
  4. Step 4: Simplify right side
    715.78x = 1,157,607.88
  5. Step 5: Solve for x
    x = 1,157,607.88/715.78
  6. Step 6: Final answer
    x = 1,617.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.