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Finding the Third Proportional to 135,246 and 290,424

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Solution

The third proportional to 135,246 and 290,424 is: 623,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,246 : 290,424 = 290,424 : x
  2. Step 2: Convert to fraction form
    135,246/290,424 = 290,424/x
  3. Step 3: Cross multiply
    135,246x = 290,424 × 290,424
  4. Step 4: Simplify right side
    135,246x = 84,346,099,776
  5. Step 5: Solve for x
    x = 84,346,099,776/135,246
  6. Step 6: Final answer
    x = 623,649.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.