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Finding the Third Proportional to 100,784.50 and 152,480.50

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Solution

The third proportional to 100,784.50 and 152,480.50 is: 230,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.50 : 152,480.50 = 152,480.50 : x
  2. Step 2: Convert to fraction form
    100,784.50/152,480.50 = 152,480.50/x
  3. Step 3: Cross multiply
    100,784.50x = 152,480.50 × 152,480.50
  4. Step 4: Simplify right side
    100,784.50x = 23,250,302,880.25
  5. Step 5: Solve for x
    x = 23,250,302,880.25/100,784.50
  6. Step 6: Final answer
    x = 230,693.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.