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Finding the Third Proportional to 386,409 and 841,548

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Solution

The third proportional to 386,409 and 841,548 is: 1,832,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,409 : 841,548 = 841,548 : x
  2. Step 2: Convert to fraction form
    386,409/841,548 = 841,548/x
  3. Step 3: Cross multiply
    386,409x = 841,548 × 841,548
  4. Step 4: Simplify right side
    386,409x = 708,203,036,304
  5. Step 5: Solve for x
    x = 708,203,036,304/386,409
  6. Step 6: Final answer
    x = 1,832,780.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.