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Finding the Third Proportional to 136,207 and 288,796

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Solution

The third proportional to 136,207 and 288,796 is: 612,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,207 : 288,796 = 288,796 : x
  2. Step 2: Convert to fraction form
    136,207/288,796 = 288,796/x
  3. Step 3: Cross multiply
    136,207x = 288,796 × 288,796
  4. Step 4: Simplify right side
    136,207x = 83,403,129,616
  5. Step 5: Solve for x
    x = 83,403,129,616/136,207
  6. Step 6: Final answer
    x = 612,326.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.