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Finding the Third Proportional to 359,941.50 and 787,677.75

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Solution

The third proportional to 359,941.50 and 787,677.75 is: 1,723,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,941.50 : 787,677.75 = 787,677.75 : x
  2. Step 2: Convert to fraction form
    359,941.50/787,677.75 = 787,677.75/x
  3. Step 3: Cross multiply
    359,941.50x = 787,677.75 × 787,677.75
  4. Step 4: Simplify right side
    359,941.50x = 620,436,237,845.06
  5. Step 5: Solve for x
    x = 620,436,237,845.06/359,941.50
  6. Step 6: Final answer
    x = 1,723,714.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.