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Finding the Third Proportional to 136,670.63 and 287,161.88

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Solution

The third proportional to 136,670.63 and 287,161.88 is: 603,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,670.63 : 287,161.88 = 287,161.88 : x
  2. Step 2: Convert to fraction form
    136,670.63/287,161.88 = 287,161.88/x
  3. Step 3: Cross multiply
    136,670.63x = 287,161.88 × 287,161.88
  4. Step 4: Simplify right side
    136,670.63x = 82,461,942,453.52
  5. Step 5: Solve for x
    x = 82,461,942,453.52/136,670.63
  6. Step 6: Final answer
    x = 603,362.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.