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Finding the Third Proportional to 298,008 and 649,557

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Solution

The third proportional to 298,008 and 649,557 is: 1,415,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,008 : 649,557 = 649,557 : x
  2. Step 2: Convert to fraction form
    298,008/649,557 = 649,557/x
  3. Step 3: Cross multiply
    298,008x = 649,557 × 649,557
  4. Step 4: Simplify right side
    298,008x = 421,924,296,249
  5. Step 5: Solve for x
    x = 421,924,296,249/298,008
  6. Step 6: Final answer
    x = 1,415,815.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.