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Finding the Third Proportional to 289,308 and 645,684

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Solution

The third proportional to 289,308 and 645,684 is: 1,441,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,308 : 645,684 = 645,684 : x
  2. Step 2: Convert to fraction form
    289,308/645,684 = 645,684/x
  3. Step 3: Cross multiply
    289,308x = 645,684 × 645,684
  4. Step 4: Simplify right side
    289,308x = 416,907,827,856
  5. Step 5: Solve for x
    x = 416,907,827,856/289,308
  6. Step 6: Final answer
    x = 1,441,051.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.