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Finding the Third Proportional to 303,157.69 and 643,276.69

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Solution

The third proportional to 303,157.69 and 643,276.69 is: 1,364,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,157.69 : 643,276.69 = 643,276.69 : x
  2. Step 2: Convert to fraction form
    303,157.69/643,276.69 = 643,276.69/x
  3. Step 3: Cross multiply
    303,157.69x = 643,276.69 × 643,276.69
  4. Step 4: Simplify right side
    303,157.69x = 413,804,896,680.97
  5. Step 5: Solve for x
    x = 413,804,896,680.97/303,157.69
  6. Step 6: Final answer
    x = 1,364,982.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.