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Finding the Third Proportional to 161,618 and 345,700

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Solution

The third proportional to 161,618 and 345,700 is: 739,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,618 : 345,700 = 345,700 : x
  2. Step 2: Convert to fraction form
    161,618/345,700 = 345,700/x
  3. Step 3: Cross multiply
    161,618x = 345,700 × 345,700
  4. Step 4: Simplify right side
    161,618x = 119,508,490,000
  5. Step 5: Solve for x
    x = 119,508,490,000/161,618
  6. Step 6: Final answer
    x = 739,450.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.