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Finding the Third Proportional to 129,710 and 284,023

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Solution

The third proportional to 129,710 and 284,023 is: 621,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710 : 284,023 = 284,023 : x
  2. Step 2: Convert to fraction form
    129,710/284,023 = 284,023/x
  3. Step 3: Cross multiply
    129,710x = 284,023 × 284,023
  4. Step 4: Simplify right side
    129,710x = 80,669,064,529
  5. Step 5: Solve for x
    x = 80,669,064,529/129,710
  6. Step 6: Final answer
    x = 621,918.62

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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.