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Finding the Third Proportional to 42,796.50 and 95,428

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Solution

The third proportional to 42,796.50 and 95,428 is: 212,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,796.50 : 95,428 = 95,428 : x
  2. Step 2: Convert to fraction form
    42,796.50/95,428 = 95,428/x
  3. Step 3: Cross multiply
    42,796.50x = 95,428 × 95,428
  4. Step 4: Simplify right side
    42,796.50x = 9,106,503,184
  5. Step 5: Solve for x
    x = 9,106,503,184/42,796.50
  6. Step 6: Final answer
    x = 212,786.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.