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Finding the Third Proportional to 312,210 and 671,814

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Solution

The third proportional to 312,210 and 671,814 is: 1,445,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,210 : 671,814 = 671,814 : x
  2. Step 2: Convert to fraction form
    312,210/671,814 = 671,814/x
  3. Step 3: Cross multiply
    312,210x = 671,814 × 671,814
  4. Step 4: Simplify right side
    312,210x = 451,334,050,596
  5. Step 5: Solve for x
    x = 451,334,050,596/312,210
  6. Step 6: Final answer
    x = 1,445,610.49

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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.