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Finding the Third Proportional to 631,176 and 1,379,280

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Solution

The third proportional to 631,176 and 1,379,280 is: 3,014,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,176 : 1,379,280 = 1,379,280 : x
  2. Step 2: Convert to fraction form
    631,176/1,379,280 = 1,379,280/x
  3. Step 3: Cross multiply
    631,176x = 1,379,280 × 1,379,280
  4. Step 4: Simplify right side
    631,176x = 1,902,413,318,400
  5. Step 5: Solve for x
    x = 1,902,413,318,400/631,176
  6. Step 6: Final answer
    x = 3,014,077.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.