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Finding the Third Proportional to 312,920 and 448,054

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Solution

The third proportional to 312,920 and 448,054 is: 641,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,920 : 448,054 = 448,054 : x
  2. Step 2: Convert to fraction form
    312,920/448,054 = 448,054/x
  3. Step 3: Cross multiply
    312,920x = 448,054 × 448,054
  4. Step 4: Simplify right side
    312,920x = 200,752,386,916
  5. Step 5: Solve for x
    x = 200,752,386,916/312,920
  6. Step 6: Final answer
    x = 641,545.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.