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Finding the Third Proportional to 251,383 and 528,619

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Solution

The third proportional to 251,383 and 528,619 is: 1,111,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,383 : 528,619 = 528,619 : x
  2. Step 2: Convert to fraction form
    251,383/528,619 = 528,619/x
  3. Step 3: Cross multiply
    251,383x = 528,619 × 528,619
  4. Step 4: Simplify right side
    251,383x = 279,438,047,161
  5. Step 5: Solve for x
    x = 279,438,047,161/251,383
  6. Step 6: Final answer
    x = 1,111,602.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.