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Finding the Third Proportional to 312,964 and 675,819

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Solution

The third proportional to 312,964 and 675,819 is: 1,459,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,964 : 675,819 = 675,819 : x
  2. Step 2: Convert to fraction form
    312,964/675,819 = 675,819/x
  3. Step 3: Cross multiply
    312,964x = 675,819 × 675,819
  4. Step 4: Simplify right side
    312,964x = 456,731,320,761
  5. Step 5: Solve for x
    x = 456,731,320,761/312,964
  6. Step 6: Final answer
    x = 1,459,373.35

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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.