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Finding the Third Proportional to 56,100 and 121,546

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Solution

The third proportional to 56,100 and 121,546 is: 263,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,100 : 121,546 = 121,546 : x
  2. Step 2: Convert to fraction form
    56,100/121,546 = 121,546/x
  3. Step 3: Cross multiply
    56,100x = 121,546 × 121,546
  4. Step 4: Simplify right side
    56,100x = 14,773,430,116
  5. Step 5: Solve for x
    x = 14,773,430,116/56,100
  6. Step 6: Final answer
    x = 263,341.00

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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.