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Finding the Third Proportional to 162,438 and 243,657

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Solution

The third proportional to 162,438 and 243,657 is: 365,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,438 : 243,657 = 243,657 : x
  2. Step 2: Convert to fraction form
    162,438/243,657 = 243,657/x
  3. Step 3: Cross multiply
    162,438x = 243,657 × 243,657
  4. Step 4: Simplify right side
    162,438x = 59,368,733,649
  5. Step 5: Solve for x
    x = 59,368,733,649/162,438
  6. Step 6: Final answer
    x = 365,485.50

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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.