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Finding the Third Proportional to 260,046 and 388,353

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Solution

The third proportional to 260,046 and 388,353 is: 579,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,046 : 388,353 = 388,353 : x
  2. Step 2: Convert to fraction form
    260,046/388,353 = 388,353/x
  3. Step 3: Cross multiply
    260,046x = 388,353 × 388,353
  4. Step 4: Simplify right side
    260,046x = 150,818,052,609
  5. Step 5: Solve for x
    x = 150,818,052,609/260,046
  6. Step 6: Final answer
    x = 579,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.