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Finding the Third Proportional to 210,125 and 315,404

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Solution

The third proportional to 210,125 and 315,404 is: 473,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,125 : 315,404 = 315,404 : x
  2. Step 2: Convert to fraction form
    210,125/315,404 = 315,404/x
  3. Step 3: Cross multiply
    210,125x = 315,404 × 315,404
  4. Step 4: Simplify right side
    210,125x = 99,479,683,216
  5. Step 5: Solve for x
    x = 99,479,683,216/210,125
  6. Step 6: Final answer
    x = 473,430.97

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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.