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Finding the Third Proportional to 187,904 and 290,826

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Solution

The third proportional to 187,904 and 290,826 is: 450,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,904 : 290,826 = 290,826 : x
  2. Step 2: Convert to fraction form
    187,904/290,826 = 290,826/x
  3. Step 3: Cross multiply
    187,904x = 290,826 × 290,826
  4. Step 4: Simplify right side
    187,904x = 84,579,762,276
  5. Step 5: Solve for x
    x = 84,579,762,276/187,904
  6. Step 6: Final answer
    x = 450,122.20

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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.