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Finding the Third Proportional to 289,276.31 and 433,633.50

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Solution

The third proportional to 289,276.31 and 433,633.50 is: 650,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,276.31 : 433,633.50 = 433,633.50 : x
  2. Step 2: Convert to fraction form
    289,276.31/433,633.50 = 433,633.50/x
  3. Step 3: Cross multiply
    289,276.31x = 433,633.50 × 433,633.50
  4. Step 4: Simplify right side
    289,276.31x = 188,038,012,322.25
  5. Step 5: Solve for x
    x = 188,038,012,322.25/289,276.31
  6. Step 6: Final answer
    x = 650,029.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.