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Finding the Third Proportional to 187,911 and 290,838

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Solution

The third proportional to 187,911 and 290,838 is: 450,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,911 : 290,838 = 290,838 : x
  2. Step 2: Convert to fraction form
    187,911/290,838 = 290,838/x
  3. Step 3: Cross multiply
    187,911x = 290,838 × 290,838
  4. Step 4: Simplify right side
    187,911x = 84,586,742,244
  5. Step 5: Solve for x
    x = 84,586,742,244/187,911
  6. Step 6: Final answer
    x = 450,142.58

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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.