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Finding the Third Proportional to 155,618 and 335,812

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Solution

The third proportional to 155,618 and 335,812 is: 724,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,618 : 335,812 = 335,812 : x
  2. Step 2: Convert to fraction form
    155,618/335,812 = 335,812/x
  3. Step 3: Cross multiply
    155,618x = 335,812 × 335,812
  4. Step 4: Simplify right side
    155,618x = 112,769,699,344
  5. Step 5: Solve for x
    x = 112,769,699,344/155,618
  6. Step 6: Final answer
    x = 724,657.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.