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Finding the Third Proportional to 162,938 and 243,399

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Solution

The third proportional to 162,938 and 243,399 is: 363,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938 : 243,399 = 243,399 : x
  2. Step 2: Convert to fraction form
    162,938/243,399 = 243,399/x
  3. Step 3: Cross multiply
    162,938x = 243,399 × 243,399
  4. Step 4: Simplify right side
    162,938x = 59,243,073,201
  5. Step 5: Solve for x
    x = 59,243,073,201/162,938
  6. Step 6: Final answer
    x = 363,592.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.