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Finding the Third Proportional to 61,648 and 145,438

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Solution

The third proportional to 61,648 and 145,438 is: 343,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648 : 145,438 = 145,438 : x
  2. Step 2: Convert to fraction form
    61,648/145,438 = 145,438/x
  3. Step 3: Cross multiply
    61,648x = 145,438 × 145,438
  4. Step 4: Simplify right side
    61,648x = 21,152,211,844
  5. Step 5: Solve for x
    x = 21,152,211,844/61,648
  6. Step 6: Final answer
    x = 343,112.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.