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Finding the Third Proportional to 129,938 and 293,483

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Solution

The third proportional to 129,938 and 293,483 is: 662,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,938 : 293,483 = 293,483 : x
  2. Step 2: Convert to fraction form
    129,938/293,483 = 293,483/x
  3. Step 3: Cross multiply
    129,938x = 293,483 × 293,483
  4. Step 4: Simplify right side
    129,938x = 86,132,271,289
  5. Step 5: Solve for x
    x = 86,132,271,289/129,938
  6. Step 6: Final answer
    x = 662,872.07

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.