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Finding the Third Proportional to 39,670 and 63,784

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Solution

The third proportional to 39,670 and 63,784 is: 102,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,670 : 63,784 = 63,784 : x
  2. Step 2: Convert to fraction form
    39,670/63,784 = 63,784/x
  3. Step 3: Cross multiply
    39,670x = 63,784 × 63,784
  4. Step 4: Simplify right side
    39,670x = 4,068,398,656
  5. Step 5: Solve for x
    x = 4,068,398,656/39,670
  6. Step 6: Final answer
    x = 102,556.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.