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Finding the Third Proportional to 239,148 and 359,289

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Solution

The third proportional to 239,148 and 359,289 is: 539,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,148 : 359,289 = 359,289 : x
  2. Step 2: Convert to fraction form
    239,148/359,289 = 359,289/x
  3. Step 3: Cross multiply
    239,148x = 359,289 × 359,289
  4. Step 4: Simplify right side
    239,148x = 129,088,585,521
  5. Step 5: Solve for x
    x = 129,088,585,521/239,148
  6. Step 6: Final answer
    x = 539,785.34

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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.