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Finding the Third Proportional to 398,817 and 867,618

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Solution

The third proportional to 398,817 and 867,618 is: 1,887,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,817 : 867,618 = 867,618 : x
  2. Step 2: Convert to fraction form
    398,817/867,618 = 867,618/x
  3. Step 3: Cross multiply
    398,817x = 867,618 × 867,618
  4. Step 4: Simplify right side
    398,817x = 752,760,993,924
  5. Step 5: Solve for x
    x = 752,760,993,924/398,817
  6. Step 6: Final answer
    x = 1,887,484.72

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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.