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Finding the Third Proportional to 415,478 and 918,148

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Solution

The third proportional to 415,478 and 918,148 is: 2,028,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,478 : 918,148 = 918,148 : x
  2. Step 2: Convert to fraction form
    415,478/918,148 = 918,148/x
  3. Step 3: Cross multiply
    415,478x = 918,148 × 918,148
  4. Step 4: Simplify right side
    415,478x = 842,995,749,904
  5. Step 5: Solve for x
    x = 842,995,749,904/415,478
  6. Step 6: Final answer
    x = 2,028,978.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.