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Finding the Third Proportional to 421,746 and 909,930

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Solution

The third proportional to 421,746 and 909,930 is: 1,963,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,746 : 909,930 = 909,930 : x
  2. Step 2: Convert to fraction form
    421,746/909,930 = 909,930/x
  3. Step 3: Cross multiply
    421,746x = 909,930 × 909,930
  4. Step 4: Simplify right side
    421,746x = 827,972,604,900
  5. Step 5: Solve for x
    x = 827,972,604,900/421,746
  6. Step 6: Final answer
    x = 1,963,202.03

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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.