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Finding the Third Proportional to 154,231 and 357,009

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Solution

The third proportional to 154,231 and 357,009 is: 826,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,231 : 357,009 = 357,009 : x
  2. Step 2: Convert to fraction form
    154,231/357,009 = 357,009/x
  3. Step 3: Cross multiply
    154,231x = 357,009 × 357,009
  4. Step 4: Simplify right side
    154,231x = 127,455,426,081
  5. Step 5: Solve for x
    x = 127,455,426,081/154,231
  6. Step 6: Final answer
    x = 826,393.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.