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Finding the Third Proportional to 138,254 and 291,262

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Solution

The third proportional to 138,254 and 291,262 is: 613,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,254 : 291,262 = 291,262 : x
  2. Step 2: Convert to fraction form
    138,254/291,262 = 291,262/x
  3. Step 3: Cross multiply
    138,254x = 291,262 × 291,262
  4. Step 4: Simplify right side
    138,254x = 84,833,552,644
  5. Step 5: Solve for x
    x = 84,833,552,644/138,254
  6. Step 6: Final answer
    x = 613,606.50

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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.