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Finding the Third Proportional to 290,696 and 678,788

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Solution

The third proportional to 290,696 and 678,788 is: 1,584,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,696 : 678,788 = 678,788 : x
  2. Step 2: Convert to fraction form
    290,696/678,788 = 678,788/x
  3. Step 3: Cross multiply
    290,696x = 678,788 × 678,788
  4. Step 4: Simplify right side
    290,696x = 460,753,148,944
  5. Step 5: Solve for x
    x = 460,753,148,944/290,696
  6. Step 6: Final answer
    x = 1,584,999.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.