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Finding the Third Proportional to 291,914 and 629,428

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Solution

The third proportional to 291,914 and 629,428 is: 1,357,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,914 : 629,428 = 629,428 : x
  2. Step 2: Convert to fraction form
    291,914/629,428 = 629,428/x
  3. Step 3: Cross multiply
    291,914x = 629,428 × 629,428
  4. Step 4: Simplify right side
    291,914x = 396,179,607,184
  5. Step 5: Solve for x
    x = 396,179,607,184/291,914
  6. Step 6: Final answer
    x = 1,357,179.19

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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.