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Finding the Third Proportional to 243,261 and 363,915

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Solution

The third proportional to 243,261 and 363,915 is: 544,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,261 : 363,915 = 363,915 : x
  2. Step 2: Convert to fraction form
    243,261/363,915 = 363,915/x
  3. Step 3: Cross multiply
    243,261x = 363,915 × 363,915
  4. Step 4: Simplify right side
    243,261x = 132,434,127,225
  5. Step 5: Solve for x
    x = 132,434,127,225/243,261
  6. Step 6: Final answer
    x = 544,411.67

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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.