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Finding the Third Proportional to 393,442 and 842,981

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Solution

The third proportional to 393,442 and 842,981 is: 1,806,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,442 : 842,981 = 842,981 : x
  2. Step 2: Convert to fraction form
    393,442/842,981 = 842,981/x
  3. Step 3: Cross multiply
    393,442x = 842,981 × 842,981
  4. Step 4: Simplify right side
    393,442x = 710,616,966,361
  5. Step 5: Solve for x
    x = 710,616,966,361/393,442
  6. Step 6: Final answer
    x = 1,806,154.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.