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Finding the Third Proportional to 40,420 and 61,784

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Solution

The third proportional to 40,420 and 61,784 is: 94,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,420 : 61,784 = 61,784 : x
  2. Step 2: Convert to fraction form
    40,420/61,784 = 61,784/x
  3. Step 3: Cross multiply
    40,420x = 61,784 × 61,784
  4. Step 4: Simplify right side
    40,420x = 3,817,262,656
  5. Step 5: Solve for x
    x = 3,817,262,656/40,420
  6. Step 6: Final answer
    x = 94,439.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.