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Finding the Third Proportional to 20,938.50 and 45,567.56

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Solution

The third proportional to 20,938.50 and 45,567.56 is: 99,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.50 : 45,567.56 = 45,567.56 : x
  2. Step 2: Convert to fraction form
    20,938.50/45,567.56 = 45,567.56/x
  3. Step 3: Cross multiply
    20,938.50x = 45,567.56 × 45,567.56
  4. Step 4: Simplify right side
    20,938.50x = 2,076,402,752.19
  5. Step 5: Solve for x
    x = 2,076,402,752.19/20,938.50
  6. Step 6: Final answer
    x = 99,166.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.