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Finding the Third Proportional to 268,128 and 529,488

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Solution

The third proportional to 268,128 and 529,488 is: 1,045,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,128 : 529,488 = 529,488 : x
  2. Step 2: Convert to fraction form
    268,128/529,488 = 529,488/x
  3. Step 3: Cross multiply
    268,128x = 529,488 × 529,488
  4. Step 4: Simplify right side
    268,128x = 280,357,542,144
  5. Step 5: Solve for x
    x = 280,357,542,144/268,128
  6. Step 6: Final answer
    x = 1,045,610.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.