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Finding the Third Proportional to 20,830 and 45,712

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Solution

The third proportional to 20,830 and 45,712 is: 100,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 45,712 = 45,712 : x
  2. Step 2: Convert to fraction form
    20,830/45,712 = 45,712/x
  3. Step 3: Cross multiply
    20,830x = 45,712 × 45,712
  4. Step 4: Simplify right side
    20,830x = 2,089,586,944
  5. Step 5: Solve for x
    x = 2,089,586,944/20,830
  6. Step 6: Final answer
    x = 100,316.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.