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Finding the Third Proportional to 310,628 and 672,034

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Solution

The third proportional to 310,628 and 672,034 is: 1,453,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,628 : 672,034 = 672,034 : x
  2. Step 2: Convert to fraction form
    310,628/672,034 = 672,034/x
  3. Step 3: Cross multiply
    310,628x = 672,034 × 672,034
  4. Step 4: Simplify right side
    310,628x = 451,629,697,156
  5. Step 5: Solve for x
    x = 451,629,697,156/310,628
  6. Step 6: Final answer
    x = 1,453,924.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.