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Finding the Third Proportional to 421,924 and 909,817

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Solution

The third proportional to 421,924 and 909,817 is: 1,961,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,924 : 909,817 = 909,817 : x
  2. Step 2: Convert to fraction form
    421,924/909,817 = 909,817/x
  3. Step 3: Cross multiply
    421,924x = 909,817 × 909,817
  4. Step 4: Simplify right side
    421,924x = 827,766,973,489
  5. Step 5: Solve for x
    x = 827,766,973,489/421,924
  6. Step 6: Final answer
    x = 1,961,886.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.