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Finding the Third Proportional to 407,772 and 882,742

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Solution

The third proportional to 407,772 and 882,742 is: 1,910,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,772 : 882,742 = 882,742 : x
  2. Step 2: Convert to fraction form
    407,772/882,742 = 882,742/x
  3. Step 3: Cross multiply
    407,772x = 882,742 × 882,742
  4. Step 4: Simplify right side
    407,772x = 779,233,438,564
  5. Step 5: Solve for x
    x = 779,233,438,564/407,772
  6. Step 6: Final answer
    x = 1,910,953.76

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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.