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Finding the Third Proportional to 39,796 and 83,428

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Solution

The third proportional to 39,796 and 83,428 is: 174,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,796 : 83,428 = 83,428 : x
  2. Step 2: Convert to fraction form
    39,796/83,428 = 83,428/x
  3. Step 3: Cross multiply
    39,796x = 83,428 × 83,428
  4. Step 4: Simplify right side
    39,796x = 6,960,231,184
  5. Step 5: Solve for x
    x = 6,960,231,184/39,796
  6. Step 6: Final answer
    x = 174,897.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.