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Finding the Third Proportional to 138,213.84 and 301,441.50

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Solution

The third proportional to 138,213.84 and 301,441.50 is: 657,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213.84 : 301,441.50 = 301,441.50 : x
  2. Step 2: Convert to fraction form
    138,213.84/301,441.50 = 301,441.50/x
  3. Step 3: Cross multiply
    138,213.84x = 301,441.50 × 301,441.50
  4. Step 4: Simplify right side
    138,213.84x = 90,866,977,922.25
  5. Step 5: Solve for x
    x = 90,866,977,922.25/138,213.84
  6. Step 6: Final answer
    x = 657,437.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.