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Finding the Third Proportional to 421,750 and 909,932

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Solution

The third proportional to 421,750 and 909,932 is: 1,963,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,750 : 909,932 = 909,932 : x
  2. Step 2: Convert to fraction form
    421,750/909,932 = 909,932/x
  3. Step 3: Cross multiply
    421,750x = 909,932 × 909,932
  4. Step 4: Simplify right side
    421,750x = 827,976,244,624
  5. Step 5: Solve for x
    x = 827,976,244,624/421,750
  6. Step 6: Final answer
    x = 1,963,192.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.