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Finding the Third Proportional to 135,240 and 293,376

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Solution

The third proportional to 135,240 and 293,376 is: 636,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,240 : 293,376 = 293,376 : x
  2. Step 2: Convert to fraction form
    135,240/293,376 = 293,376/x
  3. Step 3: Cross multiply
    135,240x = 293,376 × 293,376
  4. Step 4: Simplify right side
    135,240x = 86,069,477,376
  5. Step 5: Solve for x
    x = 86,069,477,376/135,240
  6. Step 6: Final answer
    x = 636,420.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.