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Finding the Third Proportional to 421,910 and 909,792

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Solution

The third proportional to 421,910 and 909,792 is: 1,961,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,910 : 909,792 = 909,792 : x
  2. Step 2: Convert to fraction form
    421,910/909,792 = 909,792/x
  3. Step 3: Cross multiply
    421,910x = 909,792 × 909,792
  4. Step 4: Simplify right side
    421,910x = 827,721,483,264
  5. Step 5: Solve for x
    x = 827,721,483,264/421,910
  6. Step 6: Final answer
    x = 1,961,843.72

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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.