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Finding the Third Proportional to 187,987 and 291,271

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Solution

The third proportional to 187,987 and 291,271 is: 451,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,987 : 291,271 = 291,271 : x
  2. Step 2: Convert to fraction form
    187,987/291,271 = 291,271/x
  3. Step 3: Cross multiply
    187,987x = 291,271 × 291,271
  4. Step 4: Simplify right side
    187,987x = 84,838,795,441
  5. Step 5: Solve for x
    x = 84,838,795,441/187,987
  6. Step 6: Final answer
    x = 451,301.40

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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.