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Finding the Third Proportional to 420,618 and 917,366

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Solution

The third proportional to 420,618 and 917,366 is: 2,000,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,618 : 917,366 = 917,366 : x
  2. Step 2: Convert to fraction form
    420,618/917,366 = 917,366/x
  3. Step 3: Cross multiply
    420,618x = 917,366 × 917,366
  4. Step 4: Simplify right side
    420,618x = 841,560,377,956
  5. Step 5: Solve for x
    x = 841,560,377,956/420,618
  6. Step 6: Final answer
    x = 2,000,771.19

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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.