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Finding the Third Proportional to 286,408 and 420,840

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Solution

The third proportional to 286,408 and 420,840 is: 618,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,408 : 420,840 = 420,840 : x
  2. Step 2: Convert to fraction form
    286,408/420,840 = 420,840/x
  3. Step 3: Cross multiply
    286,408x = 420,840 × 420,840
  4. Step 4: Simplify right side
    286,408x = 177,106,305,600
  5. Step 5: Solve for x
    x = 177,106,305,600/286,408
  6. Step 6: Final answer
    x = 618,370.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.