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Finding the Third Proportional to 306,620 and 670,240

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Solution

The third proportional to 306,620 and 670,240 is: 1,465,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,620 : 670,240 = 670,240 : x
  2. Step 2: Convert to fraction form
    306,620/670,240 = 670,240/x
  3. Step 3: Cross multiply
    306,620x = 670,240 × 670,240
  4. Step 4: Simplify right side
    306,620x = 449,221,657,600
  5. Step 5: Solve for x
    x = 449,221,657,600/306,620
  6. Step 6: Final answer
    x = 1,465,076.18

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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.