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Finding the Third Proportional to 304,259 and 678,478

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Solution

The third proportional to 304,259 and 678,478 is: 1,512,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,259 : 678,478 = 678,478 : x
  2. Step 2: Convert to fraction form
    304,259/678,478 = 678,478/x
  3. Step 3: Cross multiply
    304,259x = 678,478 × 678,478
  4. Step 4: Simplify right side
    304,259x = 460,332,396,484
  5. Step 5: Solve for x
    x = 460,332,396,484/304,259
  6. Step 6: Final answer
    x = 1,512,962.30

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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.