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Finding the Third Proportional to 138,890 and 210,280

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Solution

The third proportional to 138,890 and 210,280 is: 318,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,890 : 210,280 = 210,280 : x
  2. Step 2: Convert to fraction form
    138,890/210,280 = 210,280/x
  3. Step 3: Cross multiply
    138,890x = 210,280 × 210,280
  4. Step 4: Simplify right side
    138,890x = 44,217,678,400
  5. Step 5: Solve for x
    x = 44,217,678,400/138,890
  6. Step 6: Final answer
    x = 318,364.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.