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Finding the Third Proportional to 374,209 and 823,140

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Solution

The third proportional to 374,209 and 823,140 is: 1,810,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,209 : 823,140 = 823,140 : x
  2. Step 2: Convert to fraction form
    374,209/823,140 = 823,140/x
  3. Step 3: Cross multiply
    374,209x = 823,140 × 823,140
  4. Step 4: Simplify right side
    374,209x = 677,559,459,600
  5. Step 5: Solve for x
    x = 677,559,459,600/374,209
  6. Step 6: Final answer
    x = 1,810,644.48

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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.