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Finding the Third Proportional to 61,809 and 133,473

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Solution

The third proportional to 61,809 and 133,473 is: 288,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809 : 133,473 = 133,473 : x
  2. Step 2: Convert to fraction form
    61,809/133,473 = 133,473/x
  3. Step 3: Cross multiply
    61,809x = 133,473 × 133,473
  4. Step 4: Simplify right side
    61,809x = 17,815,041,729
  5. Step 5: Solve for x
    x = 17,815,041,729/61,809
  6. Step 6: Final answer
    x = 288,227.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.