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Finding the Third Proportional to 137,245 and 293,515

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Solution

The third proportional to 137,245 and 293,515 is: 627,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,245 : 293,515 = 293,515 : x
  2. Step 2: Convert to fraction form
    137,245/293,515 = 293,515/x
  3. Step 3: Cross multiply
    137,245x = 293,515 × 293,515
  4. Step 4: Simplify right side
    137,245x = 86,151,055,225
  5. Step 5: Solve for x
    x = 86,151,055,225/137,245
  6. Step 6: Final answer
    x = 627,717.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.