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Finding the Third Proportional to 384,920 and 554,460

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Solution

The third proportional to 384,920 and 554,460 is: 798,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,920 : 554,460 = 554,460 : x
  2. Step 2: Convert to fraction form
    384,920/554,460 = 554,460/x
  3. Step 3: Cross multiply
    384,920x = 554,460 × 554,460
  4. Step 4: Simplify right side
    384,920x = 307,425,891,600
  5. Step 5: Solve for x
    x = 307,425,891,600/384,920
  6. Step 6: Final answer
    x = 798,674.77

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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.