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Finding the Third Proportional to 121,160 and 283,010

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Solution

The third proportional to 121,160 and 283,010 is: 661,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,160 : 283,010 = 283,010 : x
  2. Step 2: Convert to fraction form
    121,160/283,010 = 283,010/x
  3. Step 3: Cross multiply
    121,160x = 283,010 × 283,010
  4. Step 4: Simplify right side
    121,160x = 80,094,660,100
  5. Step 5: Solve for x
    x = 80,094,660,100/121,160
  6. Step 6: Final answer
    x = 661,065.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.