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Finding the Third Proportional to 271,486.50 and 357,009.75

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Solution

The third proportional to 271,486.50 and 357,009.75 is: 469,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,486.50 : 357,009.75 = 357,009.75 : x
  2. Step 2: Convert to fraction form
    271,486.50/357,009.75 = 357,009.75/x
  3. Step 3: Cross multiply
    271,486.50x = 357,009.75 × 357,009.75
  4. Step 4: Simplify right side
    271,486.50x = 127,455,961,595.06
  5. Step 5: Solve for x
    x = 127,455,961,595.06/271,486.50
  6. Step 6: Final answer
    x = 469,474.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.