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Finding the Third Proportional to 110,403 and 151,915.50

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Solution

The third proportional to 110,403 and 151,915.50 is: 209,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,403 : 151,915.50 = 151,915.50 : x
  2. Step 2: Convert to fraction form
    110,403/151,915.50 = 151,915.50/x
  3. Step 3: Cross multiply
    110,403x = 151,915.50 × 151,915.50
  4. Step 4: Simplify right side
    110,403x = 23,078,319,140.25
  5. Step 5: Solve for x
    x = 23,078,319,140.25/110,403
  6. Step 6: Final answer
    x = 209,037.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.