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Finding the Third Proportional to 312,957 and 670,197

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Solution

The third proportional to 312,957 and 670,197 is: 1,435,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,957 : 670,197 = 670,197 : x
  2. Step 2: Convert to fraction form
    312,957/670,197 = 670,197/x
  3. Step 3: Cross multiply
    312,957x = 670,197 × 670,197
  4. Step 4: Simplify right side
    312,957x = 449,164,018,809
  5. Step 5: Solve for x
    x = 449,164,018,809/312,957
  6. Step 6: Final answer
    x = 1,435,225.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.