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Finding the Third Proportional to 298,595.11 and 649,675.69

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Solution

The third proportional to 298,595.11 and 649,675.69 is: 1,413,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,595.11 : 649,675.69 = 649,675.69 : x
  2. Step 2: Convert to fraction form
    298,595.11/649,675.69 = 649,675.69/x
  3. Step 3: Cross multiply
    298,595.11x = 649,675.69 × 649,675.69
  4. Step 4: Simplify right side
    298,595.11x = 422,078,498,928.60
  5. Step 5: Solve for x
    x = 422,078,498,928.60/298,595.11
  6. Step 6: Final answer
    x = 1,413,547.93

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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.