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Finding the Third Proportional to 427,607 and 923,011

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Solution

The third proportional to 427,607 and 923,011 is: 1,992,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,607 : 923,011 = 923,011 : x
  2. Step 2: Convert to fraction form
    427,607/923,011 = 923,011/x
  3. Step 3: Cross multiply
    427,607x = 923,011 × 923,011
  4. Step 4: Simplify right side
    427,607x = 851,949,306,121
  5. Step 5: Solve for x
    x = 851,949,306,121/427,607
  6. Step 6: Final answer
    x = 1,992,365.20

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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.