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Finding the Third Proportional to 239,312 and 354,239

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Solution

The third proportional to 239,312 and 354,239 is: 524,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,312 : 354,239 = 354,239 : x
  2. Step 2: Convert to fraction form
    239,312/354,239 = 354,239/x
  3. Step 3: Cross multiply
    239,312x = 354,239 × 354,239
  4. Step 4: Simplify right side
    239,312x = 125,485,269,121
  5. Step 5: Solve for x
    x = 125,485,269,121/239,312
  6. Step 6: Final answer
    x = 524,358.45

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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.