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Finding the Third Proportional to 305,980 and 662,792

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Solution

The third proportional to 305,980 and 662,792 is: 1,435,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,980 : 662,792 = 662,792 : x
  2. Step 2: Convert to fraction form
    305,980/662,792 = 662,792/x
  3. Step 3: Cross multiply
    305,980x = 662,792 × 662,792
  4. Step 4: Simplify right side
    305,980x = 439,293,235,264
  5. Step 5: Solve for x
    x = 439,293,235,264/305,980
  6. Step 6: Final answer
    x = 1,435,692.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.