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Finding the Third Proportional to 430,860 and 882,616

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Solution

The third proportional to 430,860 and 882,616 is: 1,808,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,860 : 882,616 = 882,616 : x
  2. Step 2: Convert to fraction form
    430,860/882,616 = 882,616/x
  3. Step 3: Cross multiply
    430,860x = 882,616 × 882,616
  4. Step 4: Simplify right side
    430,860x = 779,011,003,456
  5. Step 5: Solve for x
    x = 779,011,003,456/430,860
  6. Step 6: Final answer
    x = 1,808,037.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.