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Finding the Third Proportional to 312,946 and 675,774

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Solution

The third proportional to 312,946 and 675,774 is: 1,459,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,946 : 675,774 = 675,774 : x
  2. Step 2: Convert to fraction form
    312,946/675,774 = 675,774/x
  3. Step 3: Cross multiply
    312,946x = 675,774 × 675,774
  4. Step 4: Simplify right side
    312,946x = 456,670,499,076
  5. Step 5: Solve for x
    x = 456,670,499,076/312,946
  6. Step 6: Final answer
    x = 1,459,262.94

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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.