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Finding the Third Proportional to 904,269 and 1,398,909

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Solution

The third proportional to 904,269 and 1,398,909 is: 2,164,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,269 : 1,398,909 = 1,398,909 : x
  2. Step 2: Convert to fraction form
    904,269/1,398,909 = 1,398,909/x
  3. Step 3: Cross multiply
    904,269x = 1,398,909 × 1,398,909
  4. Step 4: Simplify right side
    904,269x = 1,956,946,390,281
  5. Step 5: Solve for x
    x = 1,956,946,390,281/904,269
  6. Step 6: Final answer
    x = 2,164,119.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.