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Finding the Third Proportional to 402,252 and 832,338

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Solution

The third proportional to 402,252 and 832,338 is: 1,722,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,252 : 832,338 = 832,338 : x
  2. Step 2: Convert to fraction form
    402,252/832,338 = 832,338/x
  3. Step 3: Cross multiply
    402,252x = 832,338 × 832,338
  4. Step 4: Simplify right side
    402,252x = 692,786,546,244
  5. Step 5: Solve for x
    x = 692,786,546,244/402,252
  6. Step 6: Final answer
    x = 1,722,269.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.