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Finding the Third Proportional to 787,090 and 1,668,763

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Solution

The third proportional to 787,090 and 1,668,763 is: 3,538,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,090 : 1,668,763 = 1,668,763 : x
  2. Step 2: Convert to fraction form
    787,090/1,668,763 = 1,668,763/x
  3. Step 3: Cross multiply
    787,090x = 1,668,763 × 1,668,763
  4. Step 4: Simplify right side
    787,090x = 2,784,769,950,169
  5. Step 5: Solve for x
    x = 2,784,769,950,169/787,090
  6. Step 6: Final answer
    x = 3,538,057.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.