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Finding the Third Proportional to 304,260 and 678,480

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Solution

The third proportional to 304,260 and 678,480 is: 1,512,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,260 : 678,480 = 678,480 : x
  2. Step 2: Convert to fraction form
    304,260/678,480 = 678,480/x
  3. Step 3: Cross multiply
    304,260x = 678,480 × 678,480
  4. Step 4: Simplify right side
    304,260x = 460,335,110,400
  5. Step 5: Solve for x
    x = 460,335,110,400/304,260
  6. Step 6: Final answer
    x = 1,512,966.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.