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Finding the Third Proportional to 407,770 and 882,738

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Solution

The third proportional to 407,770 and 882,738 is: 1,910,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,770 : 882,738 = 882,738 : x
  2. Step 2: Convert to fraction form
    407,770/882,738 = 882,738/x
  3. Step 3: Cross multiply
    407,770x = 882,738 × 882,738
  4. Step 4: Simplify right side
    407,770x = 779,226,376,644
  5. Step 5: Solve for x
    x = 779,226,376,644/407,770
  6. Step 6: Final answer
    x = 1,910,945.82

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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.