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Finding the Third Proportional to 210,314 and 315,147

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Solution

The third proportional to 210,314 and 315,147 is: 472,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,314 : 315,147 = 315,147 : x
  2. Step 2: Convert to fraction form
    210,314/315,147 = 315,147/x
  3. Step 3: Cross multiply
    210,314x = 315,147 × 315,147
  4. Step 4: Simplify right side
    210,314x = 99,317,631,609
  5. Step 5: Solve for x
    x = 99,317,631,609/210,314
  6. Step 6: Final answer
    x = 472,235.00

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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.