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Finding the Third Proportional to 161,618 and 343,972

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Solution

The third proportional to 161,618 and 343,972 is: 732,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,618 : 343,972 = 343,972 : x
  2. Step 2: Convert to fraction form
    161,618/343,972 = 343,972/x
  3. Step 3: Cross multiply
    161,618x = 343,972 × 343,972
  4. Step 4: Simplify right side
    161,618x = 118,316,736,784
  5. Step 5: Solve for x
    x = 118,316,736,784/161,618
  6. Step 6: Final answer
    x = 732,076.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.