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Finding the Third Proportional to 326,312 and 670,192

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Solution

The third proportional to 326,312 and 670,192 is: 1,376,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,312 : 670,192 = 670,192 : x
  2. Step 2: Convert to fraction form
    326,312/670,192 = 670,192/x
  3. Step 3: Cross multiply
    326,312x = 670,192 × 670,192
  4. Step 4: Simplify right side
    326,312x = 449,157,316,864
  5. Step 5: Solve for x
    x = 449,157,316,864/326,312
  6. Step 6: Final answer
    x = 1,376,465.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.