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Finding the Third Proportional to 776,397 and 1,689,477

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Solution

The third proportional to 776,397 and 1,689,477 is: 3,676,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,397 : 1,689,477 = 1,689,477 : x
  2. Step 2: Convert to fraction form
    776,397/1,689,477 = 1,689,477/x
  3. Step 3: Cross multiply
    776,397x = 1,689,477 × 1,689,477
  4. Step 4: Simplify right side
    776,397x = 2,854,332,533,529
  5. Step 5: Solve for x
    x = 2,854,332,533,529/776,397
  6. Step 6: Final answer
    x = 3,676,382.74

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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.