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Finding the Third Proportional to 196,299,176 and 412,905,280

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Solution

The third proportional to 196,299,176 and 412,905,280 is: 868,525,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,299,176 : 412,905,280 = 412,905,280 : x
  2. Step 2: Convert to fraction form
    196,299,176/412,905,280 = 412,905,280/x
  3. Step 3: Cross multiply
    196,299,176x = 412,905,280 × 412,905,280
  4. Step 4: Simplify right side
    196,299,176x = 170,490,770,251,878,400
  5. Step 5: Solve for x
    x = 170,490,770,251,878,400/196,299,176
  6. Step 6: Final answer
    x = 868,525,144.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.