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Finding the Third Proportional to 291,434 and 628,784

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Solution

The third proportional to 291,434 and 628,784 is: 1,356,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,434 : 628,784 = 628,784 : x
  2. Step 2: Convert to fraction form
    291,434/628,784 = 628,784/x
  3. Step 3: Cross multiply
    291,434x = 628,784 × 628,784
  4. Step 4: Simplify right side
    291,434x = 395,369,318,656
  5. Step 5: Solve for x
    x = 395,369,318,656/291,434
  6. Step 6: Final answer
    x = 1,356,634.16

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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.