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Finding the Third Proportional to 239,470 and 359,207

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Solution

The third proportional to 239,470 and 359,207 is: 538,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,470 : 359,207 = 359,207 : x
  2. Step 2: Convert to fraction form
    239,470/359,207 = 359,207/x
  3. Step 3: Cross multiply
    239,470x = 359,207 × 359,207
  4. Step 4: Simplify right side
    239,470x = 129,029,668,849
  5. Step 5: Solve for x
    x = 129,029,668,849/239,470
  6. Step 6: Final answer
    x = 538,813.50

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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.