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Finding the Third Proportional to 306,548 and 670,120

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Solution

The third proportional to 306,548 and 670,120 is: 1,464,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,548 : 670,120 = 670,120 : x
  2. Step 2: Convert to fraction form
    306,548/670,120 = 670,120/x
  3. Step 3: Cross multiply
    306,548x = 670,120 × 670,120
  4. Step 4: Simplify right side
    306,548x = 449,060,814,400
  5. Step 5: Solve for x
    x = 449,060,814,400/306,548
  6. Step 6: Final answer
    x = 1,464,895.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.