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Finding the Third Proportional to 162,459 and 243,687

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Solution

The third proportional to 162,459 and 243,687 is: 365,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,459 : 243,687 = 243,687 : x
  2. Step 2: Convert to fraction form
    162,459/243,687 = 243,687/x
  3. Step 3: Cross multiply
    162,459x = 243,687 × 243,687
  4. Step 4: Simplify right side
    162,459x = 59,383,353,969
  5. Step 5: Solve for x
    x = 59,383,353,969/162,459
  6. Step 6: Final answer
    x = 365,528.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.