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Finding the Third Proportional to 379,282 and 554,910

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Solution

The third proportional to 379,282 and 554,910 is: 811,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,282 : 554,910 = 554,910 : x
  2. Step 2: Convert to fraction form
    379,282/554,910 = 554,910/x
  3. Step 3: Cross multiply
    379,282x = 554,910 × 554,910
  4. Step 4: Simplify right side
    379,282x = 307,925,108,100
  5. Step 5: Solve for x
    x = 307,925,108,100/379,282
  6. Step 6: Final answer
    x = 811,863.23

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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.