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Finding the Third Proportional to 65,828 and 142,294

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Solution

The third proportional to 65,828 and 142,294 is: 307,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828 : 142,294 = 142,294 : x
  2. Step 2: Convert to fraction form
    65,828/142,294 = 142,294/x
  3. Step 3: Cross multiply
    65,828x = 142,294 × 142,294
  4. Step 4: Simplify right side
    65,828x = 20,247,582,436
  5. Step 5: Solve for x
    x = 20,247,582,436/65,828
  6. Step 6: Final answer
    x = 307,583.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.