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Finding the Third Proportional to 510,880.50 and 773,394.75

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Solution

The third proportional to 510,880.50 and 773,394.75 is: 1,170,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,880.50 : 773,394.75 = 773,394.75 : x
  2. Step 2: Convert to fraction form
    510,880.50/773,394.75 = 773,394.75/x
  3. Step 3: Cross multiply
    510,880.50x = 773,394.75 × 773,394.75
  4. Step 4: Simplify right side
    510,880.50x = 598,139,439,327.56
  5. Step 5: Solve for x
    x = 598,139,439,327.56/510,880.50
  6. Step 6: Final answer
    x = 1,170,801.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.