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Finding the Third Proportional to 359,955 and 787,707

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Solution

The third proportional to 359,955 and 787,707 is: 1,723,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,955 : 787,707 = 787,707 : x
  2. Step 2: Convert to fraction form
    359,955/787,707 = 787,707/x
  3. Step 3: Cross multiply
    359,955x = 787,707 × 787,707
  4. Step 4: Simplify right side
    359,955x = 620,482,317,849
  5. Step 5: Solve for x
    x = 620,482,317,849/359,955
  6. Step 6: Final answer
    x = 1,723,777.47

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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.