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Finding the Third Proportional to 215,852 and 337,904

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Solution

The third proportional to 215,852 and 337,904 is: 528,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,852 : 337,904 = 337,904 : x
  2. Step 2: Convert to fraction form
    215,852/337,904 = 337,904/x
  3. Step 3: Cross multiply
    215,852x = 337,904 × 337,904
  4. Step 4: Simplify right side
    215,852x = 114,179,113,216
  5. Step 5: Solve for x
    x = 114,179,113,216/215,852
  6. Step 6: Final answer
    x = 528,969.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.