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Finding the Third Proportional to 438,437 and 698,183

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Solution

The third proportional to 438,437 and 698,183 is: 1,111,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,437 : 698,183 = 698,183 : x
  2. Step 2: Convert to fraction form
    438,437/698,183 = 698,183/x
  3. Step 3: Cross multiply
    438,437x = 698,183 × 698,183
  4. Step 4: Simplify right side
    438,437x = 487,459,501,489
  5. Step 5: Solve for x
    x = 487,459,501,489/438,437
  6. Step 6: Final answer
    x = 1,111,811.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.