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Finding the Third Proportional to 310,964 and 678,210

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Solution

The third proportional to 310,964 and 678,210 is: 1,479,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,964 : 678,210 = 678,210 : x
  2. Step 2: Convert to fraction form
    310,964/678,210 = 678,210/x
  3. Step 3: Cross multiply
    310,964x = 678,210 × 678,210
  4. Step 4: Simplify right side
    310,964x = 459,968,804,100
  5. Step 5: Solve for x
    x = 459,968,804,100/310,964
  6. Step 6: Final answer
    x = 1,479,170.59

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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.