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Finding the Third Proportional to 643,420.13 and 1,270,694.25

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Solution

The third proportional to 643,420.13 and 1,270,694.25 is: 2,509,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,420.13 : 1,270,694.25 = 1,270,694.25 : x
  2. Step 2: Convert to fraction form
    643,420.13/1,270,694.25 = 1,270,694.25/x
  3. Step 3: Cross multiply
    643,420.13x = 1,270,694.25 × 1,270,694.25
  4. Step 4: Simplify right side
    643,420.13x = 1,614,663,876,983.06
  5. Step 5: Solve for x
    x = 1,614,663,876,983.06/643,420.13
  6. Step 6: Final answer
    x = 2,509,501.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.