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Finding the Third Proportional to 255,914 and 528,220

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Solution

The third proportional to 255,914 and 528,220 is: 1,090,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,914 : 528,220 = 528,220 : x
  2. Step 2: Convert to fraction form
    255,914/528,220 = 528,220/x
  3. Step 3: Cross multiply
    255,914x = 528,220 × 528,220
  4. Step 4: Simplify right side
    255,914x = 279,016,368,400
  5. Step 5: Solve for x
    x = 279,016,368,400/255,914
  6. Step 6: Final answer
    x = 1,090,273.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.