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Finding the Third Proportional to 291,140 and 628,252

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Solution

The third proportional to 291,140 and 628,252 is: 1,355,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,140 : 628,252 = 628,252 : x
  2. Step 2: Convert to fraction form
    291,140/628,252 = 628,252/x
  3. Step 3: Cross multiply
    291,140x = 628,252 × 628,252
  4. Step 4: Simplify right side
    291,140x = 394,700,575,504
  5. Step 5: Solve for x
    x = 394,700,575,504/291,140
  6. Step 6: Final answer
    x = 1,355,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.