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Finding the Third Proportional to 765,457 and 1,647,918

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Solution

The third proportional to 765,457 and 1,647,918 is: 3,547,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,457 : 1,647,918 = 1,647,918 : x
  2. Step 2: Convert to fraction form
    765,457/1,647,918 = 1,647,918/x
  3. Step 3: Cross multiply
    765,457x = 1,647,918 × 1,647,918
  4. Step 4: Simplify right side
    765,457x = 2,715,633,734,724
  5. Step 5: Solve for x
    x = 2,715,633,734,724/765,457
  6. Step 6: Final answer
    x = 3,547,728.66

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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.