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Finding the Third Proportional to 75,693 and 178,428

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Solution

The third proportional to 75,693 and 178,428 is: 420,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,693 : 178,428 = 178,428 : x
  2. Step 2: Convert to fraction form
    75,693/178,428 = 178,428/x
  3. Step 3: Cross multiply
    75,693x = 178,428 × 178,428
  4. Step 4: Simplify right side
    75,693x = 31,836,551,184
  5. Step 5: Solve for x
    x = 31,836,551,184/75,693
  6. Step 6: Final answer
    x = 420,601.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.