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Finding the Third Proportional to 210,440.50 and 315,904

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Solution

The third proportional to 210,440.50 and 315,904 is: 474,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,440.50 : 315,904 = 315,904 : x
  2. Step 2: Convert to fraction form
    210,440.50/315,904 = 315,904/x
  3. Step 3: Cross multiply
    210,440.50x = 315,904 × 315,904
  4. Step 4: Simplify right side
    210,440.50x = 99,795,337,216
  5. Step 5: Solve for x
    x = 99,795,337,216/210,440.50
  6. Step 6: Final answer
    x = 474,221.16

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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.