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Finding the Third Proportional to 301,472 and 654,784

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Solution

The third proportional to 301,472 and 654,784 is: 1,422,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,472 : 654,784 = 654,784 : x
  2. Step 2: Convert to fraction form
    301,472/654,784 = 654,784/x
  3. Step 3: Cross multiply
    301,472x = 654,784 × 654,784
  4. Step 4: Simplify right side
    301,472x = 428,742,086,656
  5. Step 5: Solve for x
    x = 428,742,086,656/301,472
  6. Step 6: Final answer
    x = 1,422,162.21

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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.