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Finding the Third Proportional to 129,944 and 284,710

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Solution

The third proportional to 129,944 and 284,710 is: 623,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,944 : 284,710 = 284,710 : x
  2. Step 2: Convert to fraction form
    129,944/284,710 = 284,710/x
  3. Step 3: Cross multiply
    129,944x = 284,710 × 284,710
  4. Step 4: Simplify right side
    129,944x = 81,059,784,100
  5. Step 5: Solve for x
    x = 81,059,784,100/129,944
  6. Step 6: Final answer
    x = 623,805.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.