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Finding the Third Proportional to 423,619 and 931,205

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Solution

The third proportional to 423,619 and 931,205 is: 2,046,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,619 : 931,205 = 931,205 : x
  2. Step 2: Convert to fraction form
    423,619/931,205 = 931,205/x
  3. Step 3: Cross multiply
    423,619x = 931,205 × 931,205
  4. Step 4: Simplify right side
    423,619x = 867,142,752,025
  5. Step 5: Solve for x
    x = 867,142,752,025/423,619
  6. Step 6: Final answer
    x = 2,046,987.39

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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.