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Finding the Third Proportional to 133,053 and 290,689

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Solution

The third proportional to 133,053 and 290,689 is: 635,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053 : 290,689 = 290,689 : x
  2. Step 2: Convert to fraction form
    133,053/290,689 = 290,689/x
  3. Step 3: Cross multiply
    133,053x = 290,689 × 290,689
  4. Step 4: Simplify right side
    133,053x = 84,500,094,721
  5. Step 5: Solve for x
    x = 84,500,094,721/133,053
  6. Step 6: Final answer
    x = 635,085.98

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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.