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Finding the Third Proportional to 384,932 and 554,478

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Solution

The third proportional to 384,932 and 554,478 is: 798,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,932 : 554,478 = 554,478 : x
  2. Step 2: Convert to fraction form
    384,932/554,478 = 554,478/x
  3. Step 3: Cross multiply
    384,932x = 554,478 × 554,478
  4. Step 4: Simplify right side
    384,932x = 307,445,852,484
  5. Step 5: Solve for x
    x = 307,445,852,484/384,932
  6. Step 6: Final answer
    x = 798,701.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.