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Finding the Third Proportional to 125.63 and 211.06

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Solution

The third proportional to 125.63 and 211.06 is: 354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.63 : 211.06 = 211.06 : x
  2. Step 2: Convert to fraction form
    125.63/211.06 = 211.06/x
  3. Step 3: Cross multiply
    125.63x = 211.06 × 211.06
  4. Step 4: Simplify right side
    125.63x = 44,547.38
  5. Step 5: Solve for x
    x = 44,547.38/125.63
  6. Step 6: Final answer
    x = 354.61

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.