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Finding the Third Proportional to 61,995 and 135,582

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Solution

The third proportional to 61,995 and 135,582 is: 296,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,995 : 135,582 = 135,582 : x
  2. Step 2: Convert to fraction form
    61,995/135,582 = 135,582/x
  3. Step 3: Cross multiply
    61,995x = 135,582 × 135,582
  4. Step 4: Simplify right side
    61,995x = 18,382,478,724
  5. Step 5: Solve for x
    x = 18,382,478,724/61,995
  6. Step 6: Final answer
    x = 296,515.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.