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Finding the Third Proportional to 409,564.13 and 641,080.13

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Solution

The third proportional to 409,564.13 and 641,080.13 is: 1,003,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.13 : 641,080.13 = 641,080.13 : x
  2. Step 2: Convert to fraction form
    409,564.13/641,080.13 = 641,080.13/x
  3. Step 3: Cross multiply
    409,564.13x = 641,080.13 × 641,080.13
  4. Step 4: Simplify right side
    409,564.13x = 410,983,726,670.02
  5. Step 5: Solve for x
    x = 410,983,726,670.02/409,564.13
  6. Step 6: Final answer
    x = 1,003,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.