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Finding the Third Proportional to 312,306 and 677,064

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Solution

The third proportional to 312,306 and 677,064 is: 1,467,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306 : 677,064 = 677,064 : x
  2. Step 2: Convert to fraction form
    312,306/677,064 = 677,064/x
  3. Step 3: Cross multiply
    312,306x = 677,064 × 677,064
  4. Step 4: Simplify right side
    312,306x = 458,415,660,096
  5. Step 5: Solve for x
    x = 458,415,660,096/312,306
  6. Step 6: Final answer
    x = 1,467,841.35

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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.