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Finding the Third Proportional to 407,427 and 644,998

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Solution

The third proportional to 407,427 and 644,998 is: 1,021,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,427 : 644,998 = 644,998 : x
  2. Step 2: Convert to fraction form
    407,427/644,998 = 644,998/x
  3. Step 3: Cross multiply
    407,427x = 644,998 × 644,998
  4. Step 4: Simplify right side
    407,427x = 416,022,420,004
  5. Step 5: Solve for x
    x = 416,022,420,004/407,427
  6. Step 6: Final answer
    x = 1,021,096.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.