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Finding the Third Proportional to 199,172 and 310,854

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Solution

The third proportional to 199,172 and 310,854 is: 485,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,172 : 310,854 = 310,854 : x
  2. Step 2: Convert to fraction form
    199,172/310,854 = 310,854/x
  3. Step 3: Cross multiply
    199,172x = 310,854 × 310,854
  4. Step 4: Simplify right side
    199,172x = 96,630,209,316
  5. Step 5: Solve for x
    x = 96,630,209,316/199,172
  6. Step 6: Final answer
    x = 485,159.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.