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Finding the Third Proportional to 426,038 and 918,504

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Solution

The third proportional to 426,038 and 918,504 is: 1,980,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,038 : 918,504 = 918,504 : x
  2. Step 2: Convert to fraction form
    426,038/918,504 = 918,504/x
  3. Step 3: Cross multiply
    426,038x = 918,504 × 918,504
  4. Step 4: Simplify right side
    426,038x = 843,649,598,016
  5. Step 5: Solve for x
    x = 843,649,598,016/426,038
  6. Step 6: Final answer
    x = 1,980,221.48

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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.