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Finding the Third Proportional to 530.75 and 755.50

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Solution

The third proportional to 530.75 and 755.50 is: 1,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 755.50 = 755.50 : x
  2. Step 2: Convert to fraction form
    530.75/755.50 = 755.50/x
  3. Step 3: Cross multiply
    530.75x = 755.50 × 755.50
  4. Step 4: Simplify right side
    530.75x = 570,780.25
  5. Step 5: Solve for x
    x = 570,780.25/530.75
  6. Step 6: Final answer
    x = 1,075.42

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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.