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Finding the Third Proportional to 426,909.75 and 643,169.25

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Solution

The third proportional to 426,909.75 and 643,169.25 is: 968,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,909.75 : 643,169.25 = 643,169.25 : x
  2. Step 2: Convert to fraction form
    426,909.75/643,169.25 = 643,169.25/x
  3. Step 3: Cross multiply
    426,909.75x = 643,169.25 × 643,169.25
  4. Step 4: Simplify right side
    426,909.75x = 413,666,684,145.56
  5. Step 5: Solve for x
    x = 413,666,684,145.56/426,909.75
  6. Step 6: Final answer
    x = 968,979.24

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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.