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Finding the Third Proportional to 53,454 and 84,631

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Solution

The third proportional to 53,454 and 84,631 is: 133,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454 : 84,631 = 84,631 : x
  2. Step 2: Convert to fraction form
    53,454/84,631 = 84,631/x
  3. Step 3: Cross multiply
    53,454x = 84,631 × 84,631
  4. Step 4: Simplify right side
    53,454x = 7,162,406,161
  5. Step 5: Solve for x
    x = 7,162,406,161/53,454
  6. Step 6: Final answer
    x = 133,991.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.