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Finding the Third Proportional to 643,721.25 and 973,865.25

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Solution

The third proportional to 643,721.25 and 973,865.25 is: 1,473,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,721.25 : 973,865.25 = 973,865.25 : x
  2. Step 2: Convert to fraction form
    643,721.25/973,865.25 = 973,865.25/x
  3. Step 3: Cross multiply
    643,721.25x = 973,865.25 × 973,865.25
  4. Step 4: Simplify right side
    643,721.25x = 948,413,525,157.56
  5. Step 5: Solve for x
    x = 948,413,525,157.56/643,721.25
  6. Step 6: Final answer
    x = 1,473,329.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.