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Finding the Third Proportional to 403,818 and 849,462

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Solution

The third proportional to 403,818 and 849,462 is: 1,786,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,818 : 849,462 = 849,462 : x
  2. Step 2: Convert to fraction form
    403,818/849,462 = 849,462/x
  3. Step 3: Cross multiply
    403,818x = 849,462 × 849,462
  4. Step 4: Simplify right side
    403,818x = 721,585,689,444
  5. Step 5: Solve for x
    x = 721,585,689,444/403,818
  6. Step 6: Final answer
    x = 1,786,908.18

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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.