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Finding the Third Proportional to 300,898.55 and 655,772.84

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Solution

The third proportional to 300,898.55 and 655,772.84 is: 1,429,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,898.55 : 655,772.84 = 655,772.84 : x
  2. Step 2: Convert to fraction form
    300,898.55/655,772.84 = 655,772.84/x
  3. Step 3: Cross multiply
    300,898.55x = 655,772.84 × 655,772.84
  4. Step 4: Simplify right side
    300,898.55x = 430,038,012,353.51
  5. Step 5: Solve for x
    x = 430,038,012,353.51/300,898.55
  6. Step 6: Final answer
    x = 1,429,179.43

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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.