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Finding the Third Proportional to 384,930 and 554,475

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Solution

The third proportional to 384,930 and 554,475 is: 798,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,930 : 554,475 = 554,475 : x
  2. Step 2: Convert to fraction form
    384,930/554,475 = 554,475/x
  3. Step 3: Cross multiply
    384,930x = 554,475 × 554,475
  4. Step 4: Simplify right side
    384,930x = 307,442,525,625
  5. Step 5: Solve for x
    x = 307,442,525,625/384,930
  6. Step 6: Final answer
    x = 798,697.23

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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.