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Finding the Third Proportional to 210,124 and 315,400

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Solution

The third proportional to 210,124 and 315,400 is: 473,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124 : 315,400 = 315,400 : x
  2. Step 2: Convert to fraction form
    210,124/315,400 = 315,400/x
  3. Step 3: Cross multiply
    210,124x = 315,400 × 315,400
  4. Step 4: Simplify right side
    210,124x = 99,477,160,000
  5. Step 5: Solve for x
    x = 99,477,160,000/210,124
  6. Step 6: Final answer
    x = 473,421.22

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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.