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Finding the Third Proportional to 135,888 and 289,272

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Solution

The third proportional to 135,888 and 289,272 is: 615,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,888 : 289,272 = 289,272 : x
  2. Step 2: Convert to fraction form
    135,888/289,272 = 289,272/x
  3. Step 3: Cross multiply
    135,888x = 289,272 × 289,272
  4. Step 4: Simplify right side
    135,888x = 83,678,289,984
  5. Step 5: Solve for x
    x = 83,678,289,984/135,888
  6. Step 6: Final answer
    x = 615,788.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.