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Finding the Third Proportional to 391,548 and 845,304

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Solution

The third proportional to 391,548 and 845,304 is: 1,824,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,548 : 845,304 = 845,304 : x
  2. Step 2: Convert to fraction form
    391,548/845,304 = 845,304/x
  3. Step 3: Cross multiply
    391,548x = 845,304 × 845,304
  4. Step 4: Simplify right side
    391,548x = 714,538,852,416
  5. Step 5: Solve for x
    x = 714,538,852,416/391,548
  6. Step 6: Final answer
    x = 1,824,907.42

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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.