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Finding the Third Proportional to 609,348 and 890,478

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Solution

The third proportional to 609,348 and 890,478 is: 1,301,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,348 : 890,478 = 890,478 : x
  2. Step 2: Convert to fraction form
    609,348/890,478 = 890,478/x
  3. Step 3: Cross multiply
    609,348x = 890,478 × 890,478
  4. Step 4: Simplify right side
    609,348x = 792,951,068,484
  5. Step 5: Solve for x
    x = 792,951,068,484/609,348
  6. Step 6: Final answer
    x = 1,301,310.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.