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Finding the Third Proportional to 135,243 and 289,248

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Solution

The third proportional to 135,243 and 289,248 is: 618,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 289,248 = 289,248 : x
  2. Step 2: Convert to fraction form
    135,243/289,248 = 289,248/x
  3. Step 3: Cross multiply
    135,243x = 289,248 × 289,248
  4. Step 4: Simplify right side
    135,243x = 83,664,405,504
  5. Step 5: Solve for x
    x = 83,664,405,504/135,243
  6. Step 6: Final answer
    x = 618,622.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.