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Finding the Third Proportional to 289,305 and 645,678

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Solution

The third proportional to 289,305 and 645,678 is: 1,441,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,305 : 645,678 = 645,678 : x
  2. Step 2: Convert to fraction form
    289,305/645,678 = 645,678/x
  3. Step 3: Cross multiply
    289,305x = 645,678 × 645,678
  4. Step 4: Simplify right side
    289,305x = 416,900,079,684
  5. Step 5: Solve for x
    x = 416,900,079,684/289,305
  6. Step 6: Final answer
    x = 1,441,040.01

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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.