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Finding the Third Proportional to 20,999 and 45,386.50

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Solution

The third proportional to 20,999 and 45,386.50 is: 98,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999 : 45,386.50 = 45,386.50 : x
  2. Step 2: Convert to fraction form
    20,999/45,386.50 = 45,386.50/x
  3. Step 3: Cross multiply
    20,999x = 45,386.50 × 45,386.50
  4. Step 4: Simplify right side
    20,999x = 2,059,934,382.25
  5. Step 5: Solve for x
    x = 2,059,934,382.25/20,999
  6. Step 6: Final answer
    x = 98,096.78

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1.5x scale

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.