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Finding the Third Proportional to 152,100 and 355,370

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Solution

The third proportional to 152,100 and 355,370 is: 830,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100 : 355,370 = 355,370 : x
  2. Step 2: Convert to fraction form
    152,100/355,370 = 355,370/x
  3. Step 3: Cross multiply
    152,100x = 355,370 × 355,370
  4. Step 4: Simplify right side
    152,100x = 126,287,836,900
  5. Step 5: Solve for x
    x = 126,287,836,900/152,100
  6. Step 6: Final answer
    x = 830,294.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.