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Finding the Third Proportional to 120,421 and 264,678

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Solution

The third proportional to 120,421 and 264,678 is: 581,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,421 : 264,678 = 264,678 : x
  2. Step 2: Convert to fraction form
    120,421/264,678 = 264,678/x
  3. Step 3: Cross multiply
    120,421x = 264,678 × 264,678
  4. Step 4: Simplify right side
    120,421x = 70,054,443,684
  5. Step 5: Solve for x
    x = 70,054,443,684/120,421
  6. Step 6: Final answer
    x = 581,746.07

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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.