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Finding the Third Proportional to 312,220 and 671,803

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Solution

The third proportional to 312,220 and 671,803 is: 1,445,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,220 : 671,803 = 671,803 : x
  2. Step 2: Convert to fraction form
    312,220/671,803 = 671,803/x
  3. Step 3: Cross multiply
    312,220x = 671,803 × 671,803
  4. Step 4: Simplify right side
    312,220x = 451,319,270,809
  5. Step 5: Solve for x
    x = 451,319,270,809/312,220
  6. Step 6: Final answer
    x = 1,445,516.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.