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Finding the Third Proportional to 316,029 and 682,842

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Solution

The third proportional to 316,029 and 682,842 is: 1,475,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,029 : 682,842 = 682,842 : x
  2. Step 2: Convert to fraction form
    316,029/682,842 = 682,842/x
  3. Step 3: Cross multiply
    316,029x = 682,842 × 682,842
  4. Step 4: Simplify right side
    316,029x = 466,273,196,964
  5. Step 5: Solve for x
    x = 466,273,196,964/316,029
  6. Step 6: Final answer
    x = 1,475,412.69

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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.