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Finding the Third Proportional to 210,138 and 315,420

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Solution

The third proportional to 210,138 and 315,420 is: 473,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,138 : 315,420 = 315,420 : x
  2. Step 2: Convert to fraction form
    210,138/315,420 = 315,420/x
  3. Step 3: Cross multiply
    210,138x = 315,420 × 315,420
  4. Step 4: Simplify right side
    210,138x = 99,489,776,400
  5. Step 5: Solve for x
    x = 99,489,776,400/210,138
  6. Step 6: Final answer
    x = 473,449.72

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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.