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Finding the Third Proportional to 427,252 and 909,720

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Solution

The third proportional to 427,252 and 909,720 is: 1,937,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,252 : 909,720 = 909,720 : x
  2. Step 2: Convert to fraction form
    427,252/909,720 = 909,720/x
  3. Step 3: Cross multiply
    427,252x = 909,720 × 909,720
  4. Step 4: Simplify right side
    427,252x = 827,590,478,400
  5. Step 5: Solve for x
    x = 827,590,478,400/427,252
  6. Step 6: Final answer
    x = 1,937,007.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.