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Finding the Third Proportional to 312,948 and 675,778

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Solution

The third proportional to 312,948 and 675,778 is: 1,459,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,948 : 675,778 = 675,778 : x
  2. Step 2: Convert to fraction form
    312,948/675,778 = 675,778/x
  3. Step 3: Cross multiply
    312,948x = 675,778 × 675,778
  4. Step 4: Simplify right side
    312,948x = 456,675,905,284
  5. Step 5: Solve for x
    x = 456,675,905,284/312,948
  6. Step 6: Final answer
    x = 1,459,270.89

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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.