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Finding the Third Proportional to 631,611 and 1,403,190

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Solution

The third proportional to 631,611 and 1,403,190 is: 3,117,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,611 : 1,403,190 = 1,403,190 : x
  2. Step 2: Convert to fraction form
    631,611/1,403,190 = 1,403,190/x
  3. Step 3: Cross multiply
    631,611x = 1,403,190 × 1,403,190
  4. Step 4: Simplify right side
    631,611x = 1,968,942,176,100
  5. Step 5: Solve for x
    x = 1,968,942,176,100/631,611
  6. Step 6: Final answer
    x = 3,117,333.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.