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Finding the Third Proportional to 452,365.31 and 689,160.94

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Solution

The third proportional to 452,365.31 and 689,160.94 is: 1,049,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,365.31 : 689,160.94 = 689,160.94 : x
  2. Step 2: Convert to fraction form
    452,365.31/689,160.94 = 689,160.94/x
  3. Step 3: Cross multiply
    452,365.31x = 689,160.94 × 689,160.94
  4. Step 4: Simplify right side
    452,365.31x = 474,942,797,775.88
  5. Step 5: Solve for x
    x = 474,942,797,775.88/452,365.31
  6. Step 6: Final answer
    x = 1,049,909.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.