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Finding the Third Proportional to 255,811.50 and 357,824.25

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Solution

The third proportional to 255,811.50 and 357,824.25 is: 500,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,811.50 : 357,824.25 = 357,824.25 : x
  2. Step 2: Convert to fraction form
    255,811.50/357,824.25 = 357,824.25/x
  3. Step 3: Cross multiply
    255,811.50x = 357,824.25 × 357,824.25
  4. Step 4: Simplify right side
    255,811.50x = 128,038,193,888.06
  5. Step 5: Solve for x
    x = 128,038,193,888.06/255,811.50
  6. Step 6: Final answer
    x = 500,517.74

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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.