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Finding the Third Proportional to 643,500.25 and 964,008.38

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Solution

The third proportional to 643,500.25 and 964,008.38 is: 1,444,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,500.25 : 964,008.38 = 964,008.38 : x
  2. Step 2: Convert to fraction form
    643,500.25/964,008.38 = 964,008.38/x
  3. Step 3: Cross multiply
    643,500.25x = 964,008.38 × 964,008.38
  4. Step 4: Simplify right side
    643,500.25x = 929,312,147,070.14
  5. Step 5: Solve for x
    x = 929,312,147,070.14/643,500.25
  6. Step 6: Final answer
    x = 1,444,151.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.