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Finding the Third Proportional to 421,740 and 909,910

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Solution

The third proportional to 421,740 and 909,910 is: 1,963,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,740 : 909,910 = 909,910 : x
  2. Step 2: Convert to fraction form
    421,740/909,910 = 909,910/x
  3. Step 3: Cross multiply
    421,740x = 909,910 × 909,910
  4. Step 4: Simplify right side
    421,740x = 827,936,208,100
  5. Step 5: Solve for x
    x = 827,936,208,100/421,740
  6. Step 6: Final answer
    x = 1,963,143.66

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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.