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Finding the Third Proportional to 188,724 and 289,656

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Solution

The third proportional to 188,724 and 289,656 is: 444,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,724 : 289,656 = 289,656 : x
  2. Step 2: Convert to fraction form
    188,724/289,656 = 289,656/x
  3. Step 3: Cross multiply
    188,724x = 289,656 × 289,656
  4. Step 4: Simplify right side
    188,724x = 83,900,598,336
  5. Step 5: Solve for x
    x = 83,900,598,336/188,724
  6. Step 6: Final answer
    x = 444,567.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.