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Finding the Third Proportional to 309,130 and 672,696

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Solution

The third proportional to 309,130 and 672,696 is: 1,463,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,130 : 672,696 = 672,696 : x
  2. Step 2: Convert to fraction form
    309,130/672,696 = 672,696/x
  3. Step 3: Cross multiply
    309,130x = 672,696 × 672,696
  4. Step 4: Simplify right side
    309,130x = 452,519,908,416
  5. Step 5: Solve for x
    x = 452,519,908,416/309,130
  6. Step 6: Final answer
    x = 1,463,849.86

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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.