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Finding the Third Proportional to 291,172 and 631,880

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Solution

The third proportional to 291,172 and 631,880 is: 1,371,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,172 : 631,880 = 631,880 : x
  2. Step 2: Convert to fraction form
    291,172/631,880 = 631,880/x
  3. Step 3: Cross multiply
    291,172x = 631,880 × 631,880
  4. Step 4: Simplify right side
    291,172x = 399,272,334,400
  5. Step 5: Solve for x
    x = 399,272,334,400/291,172
  6. Step 6: Final answer
    x = 1,371,259.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.