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Finding the Third Proportional to 757,000 and 1,648,400

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Solution

The third proportional to 757,000 and 1,648,400 is: 3,589,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,000 : 1,648,400 = 1,648,400 : x
  2. Step 2: Convert to fraction form
    757,000/1,648,400 = 1,648,400/x
  3. Step 3: Cross multiply
    757,000x = 1,648,400 × 1,648,400
  4. Step 4: Simplify right side
    757,000x = 2,717,222,560,000
  5. Step 5: Solve for x
    x = 2,717,222,560,000/757,000
  6. Step 6: Final answer
    x = 3,589,461.77

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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.