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Finding the Third Proportional to 133,139 and 289,788

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Solution

The third proportional to 133,139 and 289,788 is: 630,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,139 : 289,788 = 289,788 : x
  2. Step 2: Convert to fraction form
    133,139/289,788 = 289,788/x
  3. Step 3: Cross multiply
    133,139x = 289,788 × 289,788
  4. Step 4: Simplify right side
    133,139x = 83,977,084,944
  5. Step 5: Solve for x
    x = 83,977,084,944/133,139
  6. Step 6: Final answer
    x = 630,747.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.