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Finding the Third Proportional to 135,078 and 289,290

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Solution

The third proportional to 135,078 and 289,290 is: 619,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,078 : 289,290 = 289,290 : x
  2. Step 2: Convert to fraction form
    135,078/289,290 = 289,290/x
  3. Step 3: Cross multiply
    135,078x = 289,290 × 289,290
  4. Step 4: Simplify right side
    135,078x = 83,688,704,100
  5. Step 5: Solve for x
    x = 83,688,704,100/135,078
  6. Step 6: Final answer
    x = 619,558.36

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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.