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Finding the Third Proportional to 381,316 and 829,030

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Solution

The third proportional to 381,316 and 829,030 is: 1,802,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,316 : 829,030 = 829,030 : x
  2. Step 2: Convert to fraction form
    381,316/829,030 = 829,030/x
  3. Step 3: Cross multiply
    381,316x = 829,030 × 829,030
  4. Step 4: Simplify right side
    381,316x = 687,290,740,900
  5. Step 5: Solve for x
    x = 687,290,740,900/381,316
  6. Step 6: Final answer
    x = 1,802,417.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.