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Finding the Third Proportional to 333,072 and 678,480

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Solution

The third proportional to 333,072 and 678,480 is: 1,382,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,072 : 678,480 = 678,480 : x
  2. Step 2: Convert to fraction form
    333,072/678,480 = 678,480/x
  3. Step 3: Cross multiply
    333,072x = 678,480 × 678,480
  4. Step 4: Simplify right side
    333,072x = 460,335,110,400
  5. Step 5: Solve for x
    x = 460,335,110,400/333,072
  6. Step 6: Final answer
    x = 1,382,088.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.