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Finding the Third Proportional to 187,659 and 291,009

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Solution

The third proportional to 187,659 and 291,009 is: 451,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,659 : 291,009 = 291,009 : x
  2. Step 2: Convert to fraction form
    187,659/291,009 = 291,009/x
  3. Step 3: Cross multiply
    187,659x = 291,009 × 291,009
  4. Step 4: Simplify right side
    187,659x = 84,686,238,081
  5. Step 5: Solve for x
    x = 84,686,238,081/187,659
  6. Step 6: Final answer
    x = 451,277.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.