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Finding the Third Proportional to 388,146 and 579,825

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Solution

The third proportional to 388,146 and 579,825 is: 866,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,146 : 579,825 = 579,825 : x
  2. Step 2: Convert to fraction form
    388,146/579,825 = 579,825/x
  3. Step 3: Cross multiply
    388,146x = 579,825 × 579,825
  4. Step 4: Simplify right side
    388,146x = 336,197,030,625
  5. Step 5: Solve for x
    x = 336,197,030,625/388,146
  6. Step 6: Final answer
    x = 866,161.27

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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.