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Finding the Third Proportional to 386,514 and 562,977

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Solution

The third proportional to 386,514 and 562,977 is: 820,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,514 : 562,977 = 562,977 : x
  2. Step 2: Convert to fraction form
    386,514/562,977 = 562,977/x
  3. Step 3: Cross multiply
    386,514x = 562,977 × 562,977
  4. Step 4: Simplify right side
    386,514x = 316,943,102,529
  5. Step 5: Solve for x
    x = 316,943,102,529/386,514
  6. Step 6: Final answer
    x = 820,004.20

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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.