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Finding the Third Proportional to 350,688 and 821,232

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Solution

The third proportional to 350,688 and 821,232 is: 1,923,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,688 : 821,232 = 821,232 : x
  2. Step 2: Convert to fraction form
    350,688/821,232 = 821,232/x
  3. Step 3: Cross multiply
    350,688x = 821,232 × 821,232
  4. Step 4: Simplify right side
    350,688x = 674,421,997,824
  5. Step 5: Solve for x
    x = 674,421,997,824/350,688
  6. Step 6: Final answer
    x = 1,923,139.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.