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Finding the Third Proportional to 409,929.75 and 900,564.75

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Solution

The third proportional to 409,929.75 and 900,564.75 is: 1,978,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,929.75 : 900,564.75 = 900,564.75 : x
  2. Step 2: Convert to fraction form
    409,929.75/900,564.75 = 900,564.75/x
  3. Step 3: Cross multiply
    409,929.75x = 900,564.75 × 900,564.75
  4. Step 4: Simplify right side
    409,929.75x = 811,016,868,942.56
  5. Step 5: Solve for x
    x = 811,016,868,942.56/409,929.75
  6. Step 6: Final answer
    x = 1,978,428.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.