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Finding the Third Proportional to 196,810 and 313,316

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Solution

The third proportional to 196,810 and 313,316 is: 498,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,810 : 313,316 = 313,316 : x
  2. Step 2: Convert to fraction form
    196,810/313,316 = 313,316/x
  3. Step 3: Cross multiply
    196,810x = 313,316 × 313,316
  4. Step 4: Simplify right side
    196,810x = 98,166,915,856
  5. Step 5: Solve for x
    x = 98,166,915,856/196,810
  6. Step 6: Final answer
    x = 498,790.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.