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Finding the Third Proportional to 464,515 and 678,849

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Solution

The third proportional to 464,515 and 678,849 is: 992,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,515 : 678,849 = 678,849 : x
  2. Step 2: Convert to fraction form
    464,515/678,849 = 678,849/x
  3. Step 3: Cross multiply
    464,515x = 678,849 × 678,849
  4. Step 4: Simplify right side
    464,515x = 460,835,964,801
  5. Step 5: Solve for x
    x = 460,835,964,801/464,515
  6. Step 6: Final answer
    x = 992,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.