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Finding the Third Proportional to 100,428.75 and 151,672.50

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Solution

The third proportional to 100,428.75 and 151,672.50 is: 229,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428.75 : 151,672.50 = 151,672.50 : x
  2. Step 2: Convert to fraction form
    100,428.75/151,672.50 = 151,672.50/x
  3. Step 3: Cross multiply
    100,428.75x = 151,672.50 × 151,672.50
  4. Step 4: Simplify right side
    100,428.75x = 23,004,547,256.25
  5. Step 5: Solve for x
    x = 23,004,547,256.25/100,428.75
  6. Step 6: Final answer
    x = 229,063.36

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Why These Related Problems?

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