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Finding the Third Proportional to 305,897 and 670,888

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Solution

The third proportional to 305,897 and 670,888 is: 1,471,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,897 : 670,888 = 670,888 : x
  2. Step 2: Convert to fraction form
    305,897/670,888 = 670,888/x
  3. Step 3: Cross multiply
    305,897x = 670,888 × 670,888
  4. Step 4: Simplify right side
    305,897x = 450,090,708,544
  5. Step 5: Solve for x
    x = 450,090,708,544/305,897
  6. Step 6: Final answer
    x = 1,471,379.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.