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Finding the Third Proportional to 58,293 and 128,439

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Solution

The third proportional to 58,293 and 128,439 is: 282,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,293 : 128,439 = 128,439 : x
  2. Step 2: Convert to fraction form
    58,293/128,439 = 128,439/x
  3. Step 3: Cross multiply
    58,293x = 128,439 × 128,439
  4. Step 4: Simplify right side
    58,293x = 16,496,576,721
  5. Step 5: Solve for x
    x = 16,496,576,721/58,293
  6. Step 6: Final answer
    x = 282,994.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.