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Finding the Third Proportional to 388,467 and 847,539

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Solution

The third proportional to 388,467 and 847,539 is: 1,849,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,467 : 847,539 = 847,539 : x
  2. Step 2: Convert to fraction form
    388,467/847,539 = 847,539/x
  3. Step 3: Cross multiply
    388,467x = 847,539 × 847,539
  4. Step 4: Simplify right side
    388,467x = 718,322,356,521
  5. Step 5: Solve for x
    x = 718,322,356,521/388,467
  6. Step 6: Final answer
    x = 1,849,120.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.