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Finding the Third Proportional to 381,030 and 829,788

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Solution

The third proportional to 381,030 and 829,788 is: 1,807,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,030 : 829,788 = 829,788 : x
  2. Step 2: Convert to fraction form
    381,030/829,788 = 829,788/x
  3. Step 3: Cross multiply
    381,030x = 829,788 × 829,788
  4. Step 4: Simplify right side
    381,030x = 688,548,124,944
  5. Step 5: Solve for x
    x = 688,548,124,944/381,030
  6. Step 6: Final answer
    x = 1,807,070.64

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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.