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Finding the Third Proportional to 315,776 and 678,400

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Solution

The third proportional to 315,776 and 678,400 is: 1,457,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,776 : 678,400 = 678,400 : x
  2. Step 2: Convert to fraction form
    315,776/678,400 = 678,400/x
  3. Step 3: Cross multiply
    315,776x = 678,400 × 678,400
  4. Step 4: Simplify right side
    315,776x = 460,226,560,000
  5. Step 5: Solve for x
    x = 460,226,560,000/315,776
  6. Step 6: Final answer
    x = 1,457,446.29

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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.