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Finding the Third Proportional to 388,296.75 and 588,459.38

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Solution

The third proportional to 388,296.75 and 588,459.38 is: 891,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,296.75 : 588,459.38 = 588,459.38 : x
  2. Step 2: Convert to fraction form
    388,296.75/588,459.38 = 588,459.38/x
  3. Step 3: Cross multiply
    388,296.75x = 588,459.38 × 588,459.38
  4. Step 4: Simplify right side
    388,296.75x = 346,284,436,025.39
  5. Step 5: Solve for x
    x = 346,284,436,025.39/388,296.75
  6. Step 6: Final answer
    x = 891,803.59

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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.