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Finding the Third Proportional to 359,291.25 and 782,369.44

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Solution

The third proportional to 359,291.25 and 782,369.44 is: 1,703,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,291.25 : 782,369.44 = 782,369.44 : x
  2. Step 2: Convert to fraction form
    359,291.25/782,369.44 = 782,369.44/x
  3. Step 3: Cross multiply
    359,291.25x = 782,369.44 × 782,369.44
  4. Step 4: Simplify right side
    359,291.25x = 612,101,936,734.07
  5. Step 5: Solve for x
    x = 612,101,936,734.07/359,291.25
  6. Step 6: Final answer
    x = 1,703,637.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.