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Finding the Third Proportional to 393,557 and 849,322

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Solution

The third proportional to 393,557 and 849,322 is: 1,832,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,557 : 849,322 = 849,322 : x
  2. Step 2: Convert to fraction form
    393,557/849,322 = 849,322/x
  3. Step 3: Cross multiply
    393,557x = 849,322 × 849,322
  4. Step 4: Simplify right side
    393,557x = 721,347,859,684
  5. Step 5: Solve for x
    x = 721,347,859,684/393,557
  6. Step 6: Final answer
    x = 1,832,892.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.