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Finding the Third Proportional to 155,456 and 411,433

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Solution

The third proportional to 155,456 and 411,433 is: 1,088,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,456 : 411,433 = 411,433 : x
  2. Step 2: Convert to fraction form
    155,456/411,433 = 411,433/x
  3. Step 3: Cross multiply
    155,456x = 411,433 × 411,433
  4. Step 4: Simplify right side
    155,456x = 169,277,113,489
  5. Step 5: Solve for x
    x = 169,277,113,489/155,456
  6. Step 6: Final answer
    x = 1,088,906.92

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.