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Finding the Third Proportional to 135,320 and 293,705

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Solution

The third proportional to 135,320 and 293,705 is: 637,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,320 : 293,705 = 293,705 : x
  2. Step 2: Convert to fraction form
    135,320/293,705 = 293,705/x
  3. Step 3: Cross multiply
    135,320x = 293,705 × 293,705
  4. Step 4: Simplify right side
    135,320x = 86,262,627,025
  5. Step 5: Solve for x
    x = 86,262,627,025/135,320
  6. Step 6: Final answer
    x = 637,471.38

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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.