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Finding the Third Proportional to 785,778 and 1,715,487

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Solution

The third proportional to 785,778 and 1,715,487 is: 3,745,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,778 : 1,715,487 = 1,715,487 : x
  2. Step 2: Convert to fraction form
    785,778/1,715,487 = 1,715,487/x
  3. Step 3: Cross multiply
    785,778x = 1,715,487 × 1,715,487
  4. Step 4: Simplify right side
    785,778x = 2,942,895,647,169
  5. Step 5: Solve for x
    x = 2,942,895,647,169/785,778
  6. Step 6: Final answer
    x = 3,745,199.85

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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.