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Finding the Third Proportional to 150,270 and 355,371

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Solution

The third proportional to 150,270 and 355,371 is: 840,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270 : 355,371 = 355,371 : x
  2. Step 2: Convert to fraction form
    150,270/355,371 = 355,371/x
  3. Step 3: Cross multiply
    150,270x = 355,371 × 355,371
  4. Step 4: Simplify right side
    150,270x = 126,288,547,641
  5. Step 5: Solve for x
    x = 126,288,547,641/150,270
  6. Step 6: Final answer
    x = 840,410.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.