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Finding the Third Proportional to 34,688 and 74,838

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Solution

The third proportional to 34,688 and 74,838 is: 161,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688 : 74,838 = 74,838 : x
  2. Step 2: Convert to fraction form
    34,688/74,838 = 74,838/x
  3. Step 3: Cross multiply
    34,688x = 74,838 × 74,838
  4. Step 4: Simplify right side
    34,688x = 5,600,726,244
  5. Step 5: Solve for x
    x = 5,600,726,244/34,688
  6. Step 6: Final answer
    x = 161,460.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.