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Finding the Third Proportional to 52.10 and 59.70

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Solution

The third proportional to 52.10 and 59.70 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.10 : 59.70 = 59.70 : x
  2. Step 2: Convert to fraction form
    52.10/59.70 = 59.70/x
  3. Step 3: Cross multiply
    52.10x = 59.70 × 59.70
  4. Step 4: Simplify right side
    52.10x = 3,563.53
  5. Step 5: Solve for x
    x = 3,563.53/52.10
  6. Step 6: Final answer
    x = 68.40

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.