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Finding the Third Proportional to 409,878 and 889,740

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Solution

The third proportional to 409,878 and 889,740 is: 1,931,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,878 : 889,740 = 889,740 : x
  2. Step 2: Convert to fraction form
    409,878/889,740 = 889,740/x
  3. Step 3: Cross multiply
    409,878x = 889,740 × 889,740
  4. Step 4: Simplify right side
    409,878x = 791,637,267,600
  5. Step 5: Solve for x
    x = 791,637,267,600/409,878
  6. Step 6: Final answer
    x = 1,931,397.31

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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.