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Finding the Third Proportional to 378,700 and 829,824

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Solution

The third proportional to 378,700 and 829,824 is: 1,818,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,700 : 829,824 = 829,824 : x
  2. Step 2: Convert to fraction form
    378,700/829,824 = 829,824/x
  3. Step 3: Cross multiply
    378,700x = 829,824 × 829,824
  4. Step 4: Simplify right side
    378,700x = 688,607,870,976
  5. Step 5: Solve for x
    x = 688,607,870,976/378,700
  6. Step 6: Final answer
    x = 1,818,346.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.