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Finding the Third Proportional to 138,219 and 290,361

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Solution

The third proportional to 138,219 and 290,361 is: 609,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,219 : 290,361 = 290,361 : x
  2. Step 2: Convert to fraction form
    138,219/290,361 = 290,361/x
  3. Step 3: Cross multiply
    138,219x = 290,361 × 290,361
  4. Step 4: Simplify right side
    138,219x = 84,309,510,321
  5. Step 5: Solve for x
    x = 84,309,510,321/138,219
  6. Step 6: Final answer
    x = 609,970.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.