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Finding the Third Proportional to 289,056 and 454,040

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Solution

The third proportional to 289,056 and 454,040 is: 713,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,056 : 454,040 = 454,040 : x
  2. Step 2: Convert to fraction form
    289,056/454,040 = 454,040/x
  3. Step 3: Cross multiply
    289,056x = 454,040 × 454,040
  4. Step 4: Simplify right side
    289,056x = 206,152,321,600
  5. Step 5: Solve for x
    x = 206,152,321,600/289,056
  6. Step 6: Final answer
    x = 713,191.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.