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Finding the Third Proportional to 187,994 and 291,279

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Solution

The third proportional to 187,994 and 291,279 is: 451,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,994 : 291,279 = 291,279 : x
  2. Step 2: Convert to fraction form
    187,994/291,279 = 291,279/x
  3. Step 3: Cross multiply
    187,994x = 291,279 × 291,279
  4. Step 4: Simplify right side
    187,994x = 84,843,455,841
  5. Step 5: Solve for x
    x = 84,843,455,841/187,994
  6. Step 6: Final answer
    x = 451,309.38

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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.