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Finding the Third Proportional to 403,744 and 849,320

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Solution

The third proportional to 403,744 and 849,320 is: 1,786,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,744 : 849,320 = 849,320 : x
  2. Step 2: Convert to fraction form
    403,744/849,320 = 849,320/x
  3. Step 3: Cross multiply
    403,744x = 849,320 × 849,320
  4. Step 4: Simplify right side
    403,744x = 721,344,462,400
  5. Step 5: Solve for x
    x = 721,344,462,400/403,744
  6. Step 6: Final answer
    x = 1,786,638.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.