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Finding the Third Proportional to 135,120 and 293,313

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Solution

The third proportional to 135,120 and 293,313 is: 636,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,120 : 293,313 = 293,313 : x
  2. Step 2: Convert to fraction form
    135,120/293,313 = 293,313/x
  3. Step 3: Cross multiply
    135,120x = 293,313 × 293,313
  4. Step 4: Simplify right side
    135,120x = 86,032,515,969
  5. Step 5: Solve for x
    x = 86,032,515,969/135,120
  6. Step 6: Final answer
    x = 636,711.93

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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.