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Finding the Third Proportional to 129,412 and 284,840

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Solution

The third proportional to 129,412 and 284,840 is: 626,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,412 : 284,840 = 284,840 : x
  2. Step 2: Convert to fraction form
    129,412/284,840 = 284,840/x
  3. Step 3: Cross multiply
    129,412x = 284,840 × 284,840
  4. Step 4: Simplify right side
    129,412x = 81,133,825,600
  5. Step 5: Solve for x
    x = 81,133,825,600/129,412
  6. Step 6: Final answer
    x = 626,942.06

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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.