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Finding the Third Proportional to 326,089.25 and 428,805.75

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Solution

The third proportional to 326,089.25 and 428,805.75 is: 563,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,089.25 : 428,805.75 = 428,805.75 : x
  2. Step 2: Convert to fraction form
    326,089.25/428,805.75 = 428,805.75/x
  3. Step 3: Cross multiply
    326,089.25x = 428,805.75 × 428,805.75
  4. Step 4: Simplify right side
    326,089.25x = 183,874,371,233.06
  5. Step 5: Solve for x
    x = 183,874,371,233.06/326,089.25
  6. Step 6: Final answer
    x = 563,877.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.