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Finding the Third Proportional to 56,329 and 122,390

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Solution

The third proportional to 56,329 and 122,390 is: 265,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,329 : 122,390 = 122,390 : x
  2. Step 2: Convert to fraction form
    56,329/122,390 = 122,390/x
  3. Step 3: Cross multiply
    56,329x = 122,390 × 122,390
  4. Step 4: Simplify right side
    56,329x = 14,979,312,100
  5. Step 5: Solve for x
    x = 14,979,312,100/56,329
  6. Step 6: Final answer
    x = 265,925.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.