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Finding the Third Proportional to 285,738 and 610,842

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Solution

The third proportional to 285,738 and 610,842 is: 1,305,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,738 : 610,842 = 610,842 : x
  2. Step 2: Convert to fraction form
    285,738/610,842 = 610,842/x
  3. Step 3: Cross multiply
    285,738x = 610,842 × 610,842
  4. Step 4: Simplify right side
    285,738x = 373,127,948,964
  5. Step 5: Solve for x
    x = 373,127,948,964/285,738
  6. Step 6: Final answer
    x = 1,305,839.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.