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Finding the Third Proportional to 690,578 and 1,627,868.50

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Solution

The third proportional to 690,578 and 1,627,868.50 is: 3,837,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,578 : 1,627,868.50 = 1,627,868.50 : x
  2. Step 2: Convert to fraction form
    690,578/1,627,868.50 = 1,627,868.50/x
  3. Step 3: Cross multiply
    690,578x = 1,627,868.50 × 1,627,868.50
  4. Step 4: Simplify right side
    690,578x = 2,649,955,853,292.25
  5. Step 5: Solve for x
    x = 2,649,955,853,292.25/690,578
  6. Step 6: Final answer
    x = 3,837,301.29

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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.