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Finding the Third Proportional to 418,371 and 916,608

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Solution

The third proportional to 418,371 and 916,608 is: 2,008,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,371 : 916,608 = 916,608 : x
  2. Step 2: Convert to fraction form
    418,371/916,608 = 916,608/x
  3. Step 3: Cross multiply
    418,371x = 916,608 × 916,608
  4. Step 4: Simplify right side
    418,371x = 840,170,225,664
  5. Step 5: Solve for x
    x = 840,170,225,664/418,371
  6. Step 6: Final answer
    x = 2,008,194.22

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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.