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Finding the Third Proportional to 138,220 and 291,197

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Solution

The third proportional to 138,220 and 291,197 is: 613,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,220 : 291,197 = 291,197 : x
  2. Step 2: Convert to fraction form
    138,220/291,197 = 291,197/x
  3. Step 3: Cross multiply
    138,220x = 291,197 × 291,197
  4. Step 4: Simplify right side
    138,220x = 84,795,692,809
  5. Step 5: Solve for x
    x = 84,795,692,809/138,220
  6. Step 6: Final answer
    x = 613,483.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.