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Finding the Third Proportional to 135,117 and 293,310

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Solution

The third proportional to 135,117 and 293,310 is: 636,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,117 : 293,310 = 293,310 : x
  2. Step 2: Convert to fraction form
    135,117/293,310 = 293,310/x
  3. Step 3: Cross multiply
    135,117x = 293,310 × 293,310
  4. Step 4: Simplify right side
    135,117x = 86,030,756,100
  5. Step 5: Solve for x
    x = 86,030,756,100/135,117
  6. Step 6: Final answer
    x = 636,713.04

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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.