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Finding the Third Proportional to 34,318 and 74,428

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Solution

The third proportional to 34,318 and 74,428 is: 161,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,318 : 74,428 = 74,428 : x
  2. Step 2: Convert to fraction form
    34,318/74,428 = 74,428/x
  3. Step 3: Cross multiply
    34,318x = 74,428 × 74,428
  4. Step 4: Simplify right side
    34,318x = 5,539,527,184
  5. Step 5: Solve for x
    x = 5,539,527,184/34,318
  6. Step 6: Final answer
    x = 161,417.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.