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Finding the Third Proportional to 56,280 and 121,308

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Solution

The third proportional to 56,280 and 121,308 is: 261,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,280 : 121,308 = 121,308 : x
  2. Step 2: Convert to fraction form
    56,280/121,308 = 121,308/x
  3. Step 3: Cross multiply
    56,280x = 121,308 × 121,308
  4. Step 4: Simplify right side
    56,280x = 14,715,630,864
  5. Step 5: Solve for x
    x = 14,715,630,864/56,280
  6. Step 6: Final answer
    x = 261,471.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.