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Finding the Third Proportional to 310,946 and 678,172

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Solution

The third proportional to 310,946 and 678,172 is: 1,479,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,946 : 678,172 = 678,172 : x
  2. Step 2: Convert to fraction form
    310,946/678,172 = 678,172/x
  3. Step 3: Cross multiply
    310,946x = 678,172 × 678,172
  4. Step 4: Simplify right side
    310,946x = 459,917,261,584
  5. Step 5: Solve for x
    x = 459,917,261,584/310,946
  6. Step 6: Final answer
    x = 1,479,090.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.