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Finding the Third Proportional to 917,847 and 1,988,208

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Solution

The third proportional to 917,847 and 1,988,208 is: 4,306,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,847 : 1,988,208 = 1,988,208 : x
  2. Step 2: Convert to fraction form
    917,847/1,988,208 = 1,988,208/x
  3. Step 3: Cross multiply
    917,847x = 1,988,208 × 1,988,208
  4. Step 4: Simplify right side
    917,847x = 3,952,971,051,264
  5. Step 5: Solve for x
    x = 3,952,971,051,264/917,847
  6. Step 6: Final answer
    x = 4,306,786.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.