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Finding the Third Proportional to 690,574.50 and 1,627,860.38

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Solution

The third proportional to 690,574.50 and 1,627,860.38 is: 3,837,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,574.50 : 1,627,860.38 = 1,627,860.38 : x
  2. Step 2: Convert to fraction form
    690,574.50/1,627,860.38 = 1,627,860.38/x
  3. Step 3: Cross multiply
    690,574.50x = 1,627,860.38 × 1,627,860.38
  4. Step 4: Simplify right side
    690,574.50x = 2,649,929,400,495.14
  5. Step 5: Solve for x
    x = 2,649,929,400,495.14/690,574.50
  6. Step 6: Final answer
    x = 3,837,282.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.