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Finding the Third Proportional to 289,060 and 454,046

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Solution

The third proportional to 289,060 and 454,046 is: 713,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,060 : 454,046 = 454,046 : x
  2. Step 2: Convert to fraction form
    289,060/454,046 = 454,046/x
  3. Step 3: Cross multiply
    289,060x = 454,046 × 454,046
  4. Step 4: Simplify right side
    289,060x = 206,157,770,116
  5. Step 5: Solve for x
    x = 206,157,770,116/289,060
  6. Step 6: Final answer
    x = 713,200.62

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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.