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Finding the Third Proportional to 687,190.50 and 1,465,647

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Solution

The third proportional to 687,190.50 and 1,465,647 is: 3,125,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,190.50 : 1,465,647 = 1,465,647 : x
  2. Step 2: Convert to fraction form
    687,190.50/1,465,647 = 1,465,647/x
  3. Step 3: Cross multiply
    687,190.50x = 1,465,647 × 1,465,647
  4. Step 4: Simplify right side
    687,190.50x = 2,148,121,128,609
  5. Step 5: Solve for x
    x = 2,148,121,128,609/687,190.50
  6. Step 6: Final answer
    x = 3,125,947.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.