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Finding the Third Proportional to 196,128 and 300,510

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Solution

The third proportional to 196,128 and 300,510 is: 460,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,128 : 300,510 = 300,510 : x
  2. Step 2: Convert to fraction form
    196,128/300,510 = 300,510/x
  3. Step 3: Cross multiply
    196,128x = 300,510 × 300,510
  4. Step 4: Simplify right side
    196,128x = 90,306,260,100
  5. Step 5: Solve for x
    x = 90,306,260,100/196,128
  6. Step 6: Final answer
    x = 460,445.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.