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Finding the Third Proportional to 133,092 and 290,840

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Solution

The third proportional to 133,092 and 290,840 is: 635,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092 : 290,840 = 290,840 : x
  2. Step 2: Convert to fraction form
    133,092/290,840 = 290,840/x
  3. Step 3: Cross multiply
    133,092x = 290,840 × 290,840
  4. Step 4: Simplify right side
    133,092x = 84,587,905,600
  5. Step 5: Solve for x
    x = 84,587,905,600/133,092
  6. Step 6: Final answer
    x = 635,559.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.