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Finding the Third Proportional to 27,784 and 61,574

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Solution

The third proportional to 27,784 and 61,574 is: 136,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784 : 61,574 = 61,574 : x
  2. Step 2: Convert to fraction form
    27,784/61,574 = 61,574/x
  3. Step 3: Cross multiply
    27,784x = 61,574 × 61,574
  4. Step 4: Simplify right side
    27,784x = 3,791,357,476
  5. Step 5: Solve for x
    x = 3,791,357,476/27,784
  6. Step 6: Final answer
    x = 136,458.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.