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Finding the Third Proportional to 223,408.13 and 312,513.19

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Solution

The third proportional to 223,408.13 and 312,513.19 is: 437,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,408.13 : 312,513.19 = 312,513.19 : x
  2. Step 2: Convert to fraction form
    223,408.13/312,513.19 = 312,513.19/x
  3. Step 3: Cross multiply
    223,408.13x = 312,513.19 × 312,513.19
  4. Step 4: Simplify right side
    223,408.13x = 97,664,492,361.41
  5. Step 5: Solve for x
    x = 97,664,492,361.41/223,408.13
  6. Step 6: Final answer
    x = 437,157.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.