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Finding the Third Proportional to 61,770 and 133,066

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Solution

The third proportional to 61,770 and 133,066 is: 286,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,770 : 133,066 = 133,066 : x
  2. Step 2: Convert to fraction form
    61,770/133,066 = 133,066/x
  3. Step 3: Cross multiply
    61,770x = 133,066 × 133,066
  4. Step 4: Simplify right side
    61,770x = 17,706,560,356
  5. Step 5: Solve for x
    x = 17,706,560,356/61,770
  6. Step 6: Final answer
    x = 286,653.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.