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Finding the Third Proportional to 401,415.75 and 550,430.44

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Solution

The third proportional to 401,415.75 and 550,430.44 is: 754,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,415.75 : 550,430.44 = 550,430.44 : x
  2. Step 2: Convert to fraction form
    401,415.75/550,430.44 = 550,430.44/x
  3. Step 3: Cross multiply
    401,415.75x = 550,430.44 × 550,430.44
  4. Step 4: Simplify right side
    401,415.75x = 302,973,666,526.44
  5. Step 5: Solve for x
    x = 302,973,666,526.44/401,415.75
  6. Step 6: Final answer
    x = 754,762.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.