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Finding the Third Proportional to 308,289.50 and 675,492.50

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Solution

The third proportional to 308,289.50 and 675,492.50 is: 1,480,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,289.50 : 675,492.50 = 675,492.50 : x
  2. Step 2: Convert to fraction form
    308,289.50/675,492.50 = 675,492.50/x
  3. Step 3: Cross multiply
    308,289.50x = 675,492.50 × 675,492.50
  4. Step 4: Simplify right side
    308,289.50x = 456,290,117,556.25
  5. Step 5: Solve for x
    x = 456,290,117,556.25/308,289.50
  6. Step 6: Final answer
    x = 1,480,070.25

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Why These Related Problems?

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