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Finding the Third Proportional to 433,437 and 622,271.50

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Solution

The third proportional to 433,437 and 622,271.50 is: 893,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,437 : 622,271.50 = 622,271.50 : x
  2. Step 2: Convert to fraction form
    433,437/622,271.50 = 622,271.50/x
  3. Step 3: Cross multiply
    433,437x = 622,271.50 × 622,271.50
  4. Step 4: Simplify right side
    433,437x = 387,221,819,712.25
  5. Step 5: Solve for x
    x = 387,221,819,712.25/433,437
  6. Step 6: Final answer
    x = 893,375.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.