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Finding the Third Proportional to 70,378 and 105,438

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Solution

The third proportional to 70,378 and 105,438 is: 157,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378 : 105,438 = 105,438 : x
  2. Step 2: Convert to fraction form
    70,378/105,438 = 105,438/x
  3. Step 3: Cross multiply
    70,378x = 105,438 × 105,438
  4. Step 4: Simplify right side
    70,378x = 11,117,171,844
  5. Step 5: Solve for x
    x = 11,117,171,844/70,378
  6. Step 6: Final answer
    x = 157,963.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.