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Finding the Third Proportional to 130,805 and 273,454

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Solution

The third proportional to 130,805 and 273,454 is: 571,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,805 : 273,454 = 273,454 : x
  2. Step 2: Convert to fraction form
    130,805/273,454 = 273,454/x
  3. Step 3: Cross multiply
    130,805x = 273,454 × 273,454
  4. Step 4: Simplify right side
    130,805x = 74,777,090,116
  5. Step 5: Solve for x
    x = 74,777,090,116/130,805
  6. Step 6: Final answer
    x = 571,668.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.