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Finding the Third Proportional to 117,072.84 and 129,374.72

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Solution

The third proportional to 117,072.84 and 129,374.72 is: 142,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072.84 : 129,374.72 = 129,374.72 : x
  2. Step 2: Convert to fraction form
    117,072.84/129,374.72 = 129,374.72/x
  3. Step 3: Cross multiply
    117,072.84x = 129,374.72 × 129,374.72
  4. Step 4: Simplify right side
    117,072.84x = 16,737,817,851.64
  5. Step 5: Solve for x
    x = 16,737,817,851.64/117,072.84
  6. Step 6: Final answer
    x = 142,969.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.