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Finding the Third Proportional to 305,436 and 657,479

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Solution

The third proportional to 305,436 and 657,479 is: 1,415,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,436 : 657,479 = 657,479 : x
  2. Step 2: Convert to fraction form
    305,436/657,479 = 657,479/x
  3. Step 3: Cross multiply
    305,436x = 657,479 × 657,479
  4. Step 4: Simplify right side
    305,436x = 432,278,635,441
  5. Step 5: Solve for x
    x = 432,278,635,441/305,436
  6. Step 6: Final answer
    x = 1,415,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.