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Finding the Third Proportional to 199,866 and 307,518

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Solution

The third proportional to 199,866 and 307,518 is: 473,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,866 : 307,518 = 307,518 : x
  2. Step 2: Convert to fraction form
    199,866/307,518 = 307,518/x
  3. Step 3: Cross multiply
    199,866x = 307,518 × 307,518
  4. Step 4: Simplify right side
    199,866x = 94,567,320,324
  5. Step 5: Solve for x
    x = 94,567,320,324/199,866
  6. Step 6: Final answer
    x = 473,153.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.