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Finding the Third Proportional to 66,688 and 102,253

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Solution

The third proportional to 66,688 and 102,253 is: 156,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,688 : 102,253 = 102,253 : x
  2. Step 2: Convert to fraction form
    66,688/102,253 = 102,253/x
  3. Step 3: Cross multiply
    66,688x = 102,253 × 102,253
  4. Step 4: Simplify right side
    66,688x = 10,455,676,009
  5. Step 5: Solve for x
    x = 10,455,676,009/66,688
  6. Step 6: Final answer
    x = 156,784.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.