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Finding the Third Proportional to 138,642 and 210,558

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Solution

The third proportional to 138,642 and 210,558 is: 319,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642 : 210,558 = 210,558 : x
  2. Step 2: Convert to fraction form
    138,642/210,558 = 210,558/x
  3. Step 3: Cross multiply
    138,642x = 210,558 × 210,558
  4. Step 4: Simplify right side
    138,642x = 44,334,671,364
  5. Step 5: Solve for x
    x = 44,334,671,364/138,642
  6. Step 6: Final answer
    x = 319,778.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.