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Finding the Third Proportional to 357,131 and 540,305

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Solution

The third proportional to 357,131 and 540,305 is: 817,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,131 : 540,305 = 540,305 : x
  2. Step 2: Convert to fraction form
    357,131/540,305 = 540,305/x
  3. Step 3: Cross multiply
    357,131x = 540,305 × 540,305
  4. Step 4: Simplify right side
    357,131x = 291,929,493,025
  5. Step 5: Solve for x
    x = 291,929,493,025/357,131
  6. Step 6: Final answer
    x = 817,429.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.