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Finding the Third Proportional to 298,599.38 and 649,684.13

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Solution

The third proportional to 298,599.38 and 649,684.13 is: 1,413,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,599.38 : 649,684.13 = 649,684.13 : x
  2. Step 2: Convert to fraction form
    298,599.38/649,684.13 = 649,684.13/x
  3. Step 3: Cross multiply
    298,599.38x = 649,684.13 × 649,684.13
  4. Step 4: Simplify right side
    298,599.38x = 422,089,462,277.02
  5. Step 5: Solve for x
    x = 422,089,462,277.02/298,599.38
  6. Step 6: Final answer
    x = 1,413,564.45

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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.