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Finding the Third Proportional to 446,207 and 869,998

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Solution

The third proportional to 446,207 and 869,998 is: 1,696,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,207 : 869,998 = 869,998 : x
  2. Step 2: Convert to fraction form
    446,207/869,998 = 869,998/x
  3. Step 3: Cross multiply
    446,207x = 869,998 × 869,998
  4. Step 4: Simplify right side
    446,207x = 756,896,520,004
  5. Step 5: Solve for x
    x = 756,896,520,004/446,207
  6. Step 6: Final answer
    x = 1,696,290.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.