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Finding the Third Proportional to 138,220 and 290,367

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Solution

The third proportional to 138,220 and 290,367 is: 609,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,220 : 290,367 = 290,367 : x
  2. Step 2: Convert to fraction form
    138,220/290,367 = 290,367/x
  3. Step 3: Cross multiply
    138,220x = 290,367 × 290,367
  4. Step 4: Simplify right side
    138,220x = 84,312,994,689
  5. Step 5: Solve for x
    x = 84,312,994,689/138,220
  6. Step 6: Final answer
    x = 609,991.28

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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.