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Finding the Third Proportional to 187,670 and 291,028

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Solution

The third proportional to 187,670 and 291,028 is: 451,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,670 : 291,028 = 291,028 : x
  2. Step 2: Convert to fraction form
    187,670/291,028 = 291,028/x
  3. Step 3: Cross multiply
    187,670x = 291,028 × 291,028
  4. Step 4: Simplify right side
    187,670x = 84,697,296,784
  5. Step 5: Solve for x
    x = 84,697,296,784/187,670
  6. Step 6: Final answer
    x = 451,309.73

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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.