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Finding the Third Proportional to 135,915 and 288,336

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Solution

The third proportional to 135,915 and 288,336 is: 611,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,915 : 288,336 = 288,336 : x
  2. Step 2: Convert to fraction form
    135,915/288,336 = 288,336/x
  3. Step 3: Cross multiply
    135,915x = 288,336 × 288,336
  4. Step 4: Simplify right side
    135,915x = 83,137,648,896
  5. Step 5: Solve for x
    x = 83,137,648,896/135,915
  6. Step 6: Final answer
    x = 611,688.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.