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Finding the Third Proportional to 386,412 and 829,952

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Solution

The third proportional to 386,412 and 829,952 is: 1,782,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,412 : 829,952 = 829,952 : x
  2. Step 2: Convert to fraction form
    386,412/829,952 = 829,952/x
  3. Step 3: Cross multiply
    386,412x = 829,952 × 829,952
  4. Step 4: Simplify right side
    386,412x = 688,820,322,304
  5. Step 5: Solve for x
    x = 688,820,322,304/386,412
  6. Step 6: Final answer
    x = 1,782,605.93

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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.