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Finding the Third Proportional to 684,306 and 1,505,988

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Solution

The third proportional to 684,306 and 1,505,988 is: 3,314,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,306 : 1,505,988 = 1,505,988 : x
  2. Step 2: Convert to fraction form
    684,306/1,505,988 = 1,505,988/x
  3. Step 3: Cross multiply
    684,306x = 1,505,988 × 1,505,988
  4. Step 4: Simplify right side
    684,306x = 2,267,999,856,144
  5. Step 5: Solve for x
    x = 2,267,999,856,144/684,306
  6. Step 6: Final answer
    x = 3,314,306.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.