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Finding the Third Proportional to 10,733.77 and 23,534.93

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Solution

The third proportional to 10,733.77 and 23,534.93 is: 51,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.77 : 23,534.93 = 23,534.93 : x
  2. Step 2: Convert to fraction form
    10,733.77/23,534.93 = 23,534.93/x
  3. Step 3: Cross multiply
    10,733.77x = 23,534.93 × 23,534.93
  4. Step 4: Simplify right side
    10,733.77x = 553,892,915.40
  5. Step 5: Solve for x
    x = 553,892,915.40/10,733.77
  6. Step 6: Final answer
    x = 51,602.85

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