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Finding the Third Proportional to 309,900 and 671,964

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Solution

The third proportional to 309,900 and 671,964 is: 1,457,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,900 : 671,964 = 671,964 : x
  2. Step 2: Convert to fraction form
    309,900/671,964 = 671,964/x
  3. Step 3: Cross multiply
    309,900x = 671,964 × 671,964
  4. Step 4: Simplify right side
    309,900x = 451,535,617,296
  5. Step 5: Solve for x
    x = 451,535,617,296/309,900
  6. Step 6: Final answer
    x = 1,457,036.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.