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Finding the Third Proportional to 388,851 and 808,740

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Solution

The third proportional to 388,851 and 808,740 is: 1,682,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,851 : 808,740 = 808,740 : x
  2. Step 2: Convert to fraction form
    388,851/808,740 = 808,740/x
  3. Step 3: Cross multiply
    388,851x = 808,740 × 808,740
  4. Step 4: Simplify right side
    388,851x = 654,060,387,600
  5. Step 5: Solve for x
    x = 654,060,387,600/388,851
  6. Step 6: Final answer
    x = 1,682,033.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.