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Finding the Third Proportional to 145,420 and 196,420

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Solution

The third proportional to 145,420 and 196,420 is: 265,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,420 : 196,420 = 196,420 : x
  2. Step 2: Convert to fraction form
    145,420/196,420 = 196,420/x
  3. Step 3: Cross multiply
    145,420x = 196,420 × 196,420
  4. Step 4: Simplify right side
    145,420x = 38,580,816,400
  5. Step 5: Solve for x
    x = 38,580,816,400/145,420
  6. Step 6: Final answer
    x = 265,306.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.