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Finding the Third Proportional to 135,324 and 290,808

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Solution

The third proportional to 135,324 and 290,808 is: 624,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,324 : 290,808 = 290,808 : x
  2. Step 2: Convert to fraction form
    135,324/290,808 = 290,808/x
  3. Step 3: Cross multiply
    135,324x = 290,808 × 290,808
  4. Step 4: Simplify right side
    135,324x = 84,569,292,864
  5. Step 5: Solve for x
    x = 84,569,292,864/135,324
  6. Step 6: Final answer
    x = 624,939.35

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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.