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Finding the Third Proportional to 295,740 and 641,305.13

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Solution

The third proportional to 295,740 and 641,305.13 is: 1,390,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,740 : 641,305.13 = 641,305.13 : x
  2. Step 2: Convert to fraction form
    295,740/641,305.13 = 641,305.13/x
  3. Step 3: Cross multiply
    295,740x = 641,305.13 × 641,305.13
  4. Step 4: Simplify right side
    295,740x = 411,272,263,351.27
  5. Step 5: Solve for x
    x = 411,272,263,351.27/295,740
  6. Step 6: Final answer
    x = 1,390,654.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.