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Finding the Third Proportional to 815,348 and 1,729,368

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Solution

The third proportional to 815,348 and 1,729,368 is: 3,668,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,348 : 1,729,368 = 1,729,368 : x
  2. Step 2: Convert to fraction form
    815,348/1,729,368 = 1,729,368/x
  3. Step 3: Cross multiply
    815,348x = 1,729,368 × 1,729,368
  4. Step 4: Simplify right side
    815,348x = 2,990,713,679,424
  5. Step 5: Solve for x
    x = 2,990,713,679,424/815,348
  6. Step 6: Final answer
    x = 3,668,021.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.