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Finding the Third Proportional to 427,308 and 921,036

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Solution

The third proportional to 427,308 and 921,036 is: 1,985,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,308 : 921,036 = 921,036 : x
  2. Step 2: Convert to fraction form
    427,308/921,036 = 921,036/x
  3. Step 3: Cross multiply
    427,308x = 921,036 × 921,036
  4. Step 4: Simplify right side
    427,308x = 848,307,313,296
  5. Step 5: Solve for x
    x = 848,307,313,296/427,308
  6. Step 6: Final answer
    x = 1,985,236.21

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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.