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Finding the Third Proportional to 197,136 and 305,820

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Solution

The third proportional to 197,136 and 305,820 is: 474,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,136 : 305,820 = 305,820 : x
  2. Step 2: Convert to fraction form
    197,136/305,820 = 305,820/x
  3. Step 3: Cross multiply
    197,136x = 305,820 × 305,820
  4. Step 4: Simplify right side
    197,136x = 93,525,872,400
  5. Step 5: Solve for x
    x = 93,525,872,400/197,136
  6. Step 6: Final answer
    x = 474,423.10

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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.