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Finding the Third Proportional to 196,820 and 305,598

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Solution

The third proportional to 196,820 and 305,598 is: 474,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,820 : 305,598 = 305,598 : x
  2. Step 2: Convert to fraction form
    196,820/305,598 = 305,598/x
  3. Step 3: Cross multiply
    196,820x = 305,598 × 305,598
  4. Step 4: Simplify right side
    196,820x = 93,390,137,604
  5. Step 5: Solve for x
    x = 93,390,137,604/196,820
  6. Step 6: Final answer
    x = 474,495.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.