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Finding the Third Proportional to 295,392 and 649,830

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Solution

The third proportional to 295,392 and 649,830 is: 1,429,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,392 : 649,830 = 649,830 : x
  2. Step 2: Convert to fraction form
    295,392/649,830 = 649,830/x
  3. Step 3: Cross multiply
    295,392x = 649,830 × 649,830
  4. Step 4: Simplify right side
    295,392x = 422,279,028,900
  5. Step 5: Solve for x
    x = 422,279,028,900/295,392
  6. Step 6: Final answer
    x = 1,429,554.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.