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Finding the Third Proportional to 255,327.19 and 357,832.69

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Solution

The third proportional to 255,327.19 and 357,832.69 is: 501,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,327.19 : 357,832.69 = 357,832.69 : x
  2. Step 2: Convert to fraction form
    255,327.19/357,832.69 = 357,832.69/x
  3. Step 3: Cross multiply
    255,327.19x = 357,832.69 × 357,832.69
  4. Step 4: Simplify right side
    255,327.19x = 128,044,232,243.47
  5. Step 5: Solve for x
    x = 128,044,232,243.47/255,327.19
  6. Step 6: Final answer
    x = 501,490.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.