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Finding the Third Proportional to 529.78 and 754.78

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Solution

The third proportional to 529.78 and 754.78 is: 1,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.78 : 754.78 = 754.78 : x
  2. Step 2: Convert to fraction form
    529.78/754.78 = 754.78/x
  3. Step 3: Cross multiply
    529.78x = 754.78 × 754.78
  4. Step 4: Simplify right side
    529.78x = 569,694.74
  5. Step 5: Solve for x
    x = 569,694.74/529.78
  6. Step 6: Final answer
    x = 1,075.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.