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Finding the Third Proportional to 157.64 and 210.52

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Solution

The third proportional to 157.64 and 210.52 is: 281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 210.52 = 210.52 : x
  2. Step 2: Convert to fraction form
    157.64/210.52 = 210.52/x
  3. Step 3: Cross multiply
    157.64x = 210.52 × 210.52
  4. Step 4: Simplify right side
    157.64x = 44,316.83
  5. Step 5: Solve for x
    x = 44,316.83/157.64
  6. Step 6: Final answer
    x = 281.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.