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Finding the Third Proportional to 389,618 and 527,979

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Solution

The third proportional to 389,618 and 527,979 is: 715,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,618 : 527,979 = 527,979 : x
  2. Step 2: Convert to fraction form
    389,618/527,979 = 527,979/x
  3. Step 3: Cross multiply
    389,618x = 527,979 × 527,979
  4. Step 4: Simplify right side
    389,618x = 278,761,824,441
  5. Step 5: Solve for x
    x = 278,761,824,441/389,618
  6. Step 6: Final answer
    x = 715,474.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.