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Finding the Third Proportional to 196,870 and 305,420

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Solution

The third proportional to 196,870 and 305,420 is: 473,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,870 : 305,420 = 305,420 : x
  2. Step 2: Convert to fraction form
    196,870/305,420 = 305,420/x
  3. Step 3: Cross multiply
    196,870x = 305,420 × 305,420
  4. Step 4: Simplify right side
    196,870x = 93,281,376,400
  5. Step 5: Solve for x
    x = 93,281,376,400/196,870
  6. Step 6: Final answer
    x = 473,822.20

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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.