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Finding the Third Proportional to 295,424 and 645,000

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Solution

The third proportional to 295,424 and 645,000 is: 1,408,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,424 : 645,000 = 645,000 : x
  2. Step 2: Convert to fraction form
    295,424/645,000 = 645,000/x
  3. Step 3: Cross multiply
    295,424x = 645,000 × 645,000
  4. Step 4: Simplify right side
    295,424x = 416,025,000,000
  5. Step 5: Solve for x
    x = 416,025,000,000/295,424
  6. Step 6: Final answer
    x = 1,408,230.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.