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Finding the Third Proportional to 210,241.69 and 315,297.70

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Solution

The third proportional to 210,241.69 and 315,297.70 is: 472,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,241.69 : 315,297.70 = 315,297.70 : x
  2. Step 2: Convert to fraction form
    210,241.69/315,297.70 = 315,297.70/x
  3. Step 3: Cross multiply
    210,241.69x = 315,297.70 × 315,297.70
  4. Step 4: Simplify right side
    210,241.69x = 99,412,641,595.90
  5. Step 5: Solve for x
    x = 99,412,641,595.90/210,241.69
  6. Step 6: Final answer
    x = 472,849.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.