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Finding the Third Proportional to 56,789 and 117,220

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Solution

The third proportional to 56,789 and 117,220 is: 241,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,789 : 117,220 = 117,220 : x
  2. Step 2: Convert to fraction form
    56,789/117,220 = 117,220/x
  3. Step 3: Cross multiply
    56,789x = 117,220 × 117,220
  4. Step 4: Simplify right side
    56,789x = 13,740,528,400
  5. Step 5: Solve for x
    x = 13,740,528,400/56,789
  6. Step 6: Final answer
    x = 241,957.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.