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Finding the Third Proportional to 63,406 and 147,438

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Solution

The third proportional to 63,406 and 147,438 is: 342,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,406 : 147,438 = 147,438 : x
  2. Step 2: Convert to fraction form
    63,406/147,438 = 147,438/x
  3. Step 3: Cross multiply
    63,406x = 147,438 × 147,438
  4. Step 4: Simplify right side
    63,406x = 21,737,963,844
  5. Step 5: Solve for x
    x = 21,737,963,844/63,406
  6. Step 6: Final answer
    x = 342,837.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.