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Finding the Third Proportional to 56,205 and 120,423

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Solution

The third proportional to 56,205 and 120,423 is: 258,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,205 : 120,423 = 120,423 : x
  2. Step 2: Convert to fraction form
    56,205/120,423 = 120,423/x
  3. Step 3: Cross multiply
    56,205x = 120,423 × 120,423
  4. Step 4: Simplify right side
    56,205x = 14,501,698,929
  5. Step 5: Solve for x
    x = 14,501,698,929/56,205
  6. Step 6: Final answer
    x = 258,014.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.