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Finding the Third Proportional to 312,303 and 671,976

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Solution

The third proportional to 312,303 and 671,976 is: 1,445,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,303 : 671,976 = 671,976 : x
  2. Step 2: Convert to fraction form
    312,303/671,976 = 671,976/x
  3. Step 3: Cross multiply
    312,303x = 671,976 × 671,976
  4. Step 4: Simplify right side
    312,303x = 451,551,744,576
  5. Step 5: Solve for x
    x = 451,551,744,576/312,303
  6. Step 6: Final answer
    x = 1,445,877.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.