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Finding the Third Proportional to 464,504 and 678,830

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Solution

The third proportional to 464,504 and 678,830 is: 992,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,504 : 678,830 = 678,830 : x
  2. Step 2: Convert to fraction form
    464,504/678,830 = 678,830/x
  3. Step 3: Cross multiply
    464,504x = 678,830 × 678,830
  4. Step 4: Simplify right side
    464,504x = 460,810,168,900
  5. Step 5: Solve for x
    x = 460,810,168,900/464,504
  6. Step 6: Final answer
    x = 992,047.79

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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.