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Finding the Third Proportional to 138,907 and 210,298

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Solution

The third proportional to 138,907 and 210,298 is: 318,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907 : 210,298 = 210,298 : x
  2. Step 2: Convert to fraction form
    138,907/210,298 = 210,298/x
  3. Step 3: Cross multiply
    138,907x = 210,298 × 210,298
  4. Step 4: Simplify right side
    138,907x = 44,225,248,804
  5. Step 5: Solve for x
    x = 44,225,248,804/138,907
  6. Step 6: Final answer
    x = 318,380.27

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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.