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Finding the Third Proportional to 239,378 and 354,438

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Solution

The third proportional to 239,378 and 354,438 is: 524,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,378 : 354,438 = 354,438 : x
  2. Step 2: Convert to fraction form
    239,378/354,438 = 354,438/x
  3. Step 3: Cross multiply
    239,378x = 354,438 × 354,438
  4. Step 4: Simplify right side
    239,378x = 125,626,295,844
  5. Step 5: Solve for x
    x = 125,626,295,844/239,378
  6. Step 6: Final answer
    x = 524,803.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.