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Finding the Third Proportional to 61,405 and 133,623

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Solution

The third proportional to 61,405 and 133,623 is: 290,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405 : 133,623 = 133,623 : x
  2. Step 2: Convert to fraction form
    61,405/133,623 = 133,623/x
  3. Step 3: Cross multiply
    61,405x = 133,623 × 133,623
  4. Step 4: Simplify right side
    61,405x = 17,855,106,129
  5. Step 5: Solve for x
    x = 17,855,106,129/61,405
  6. Step 6: Final answer
    x = 290,776.10

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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.