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Finding the Third Proportional to 255,156.75 and 559,399.50

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Solution

The third proportional to 255,156.75 and 559,399.50 is: 1,226,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,156.75 : 559,399.50 = 559,399.50 : x
  2. Step 2: Convert to fraction form
    255,156.75/559,399.50 = 559,399.50/x
  3. Step 3: Cross multiply
    255,156.75x = 559,399.50 × 559,399.50
  4. Step 4: Simplify right side
    255,156.75x = 312,927,800,600.25
  5. Step 5: Solve for x
    x = 312,927,800,600.25/255,156.75
  6. Step 6: Final answer
    x = 1,226,413.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.