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Finding the Third Proportional to 196,213 and 310,904

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Solution

The third proportional to 196,213 and 310,904 is: 492,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,213 : 310,904 = 310,904 : x
  2. Step 2: Convert to fraction form
    196,213/310,904 = 310,904/x
  3. Step 3: Cross multiply
    196,213x = 310,904 × 310,904
  4. Step 4: Simplify right side
    196,213x = 96,661,297,216
  5. Step 5: Solve for x
    x = 96,661,297,216/196,213
  6. Step 6: Final answer
    x = 492,634.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.