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Finding the Third Proportional to 765,459 and 1,647,921

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Solution

The third proportional to 765,459 and 1,647,921 is: 3,547,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,459 : 1,647,921 = 1,647,921 : x
  2. Step 2: Convert to fraction form
    765,459/1,647,921 = 1,647,921/x
  3. Step 3: Cross multiply
    765,459x = 1,647,921 × 1,647,921
  4. Step 4: Simplify right side
    765,459x = 2,715,643,622,241
  5. Step 5: Solve for x
    x = 2,715,643,622,241/765,459
  6. Step 6: Final answer
    x = 3,547,732.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.