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Finding the Third Proportional to 64,380 and 102,442

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Solution

The third proportional to 64,380 and 102,442 is: 163,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,380 : 102,442 = 102,442 : x
  2. Step 2: Convert to fraction form
    64,380/102,442 = 102,442/x
  3. Step 3: Cross multiply
    64,380x = 102,442 × 102,442
  4. Step 4: Simplify right side
    64,380x = 10,494,363,364
  5. Step 5: Solve for x
    x = 10,494,363,364/64,380
  6. Step 6: Final answer
    x = 163,006.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.