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Finding the Third Proportional to 150,014 and 210,987

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Solution

The third proportional to 150,014 and 210,987 is: 296,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,014 : 210,987 = 210,987 : x
  2. Step 2: Convert to fraction form
    150,014/210,987 = 210,987/x
  3. Step 3: Cross multiply
    150,014x = 210,987 × 210,987
  4. Step 4: Simplify right side
    150,014x = 44,515,514,169
  5. Step 5: Solve for x
    x = 44,515,514,169/150,014
  6. Step 6: Final answer
    x = 296,742.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.