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Finding the Third Proportional to 504,324 and 780,912

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Solution

The third proportional to 504,324 and 780,912 is: 1,209,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,324 : 780,912 = 780,912 : x
  2. Step 2: Convert to fraction form
    504,324/780,912 = 780,912/x
  3. Step 3: Cross multiply
    504,324x = 780,912 × 780,912
  4. Step 4: Simplify right side
    504,324x = 609,823,551,744
  5. Step 5: Solve for x
    x = 609,823,551,744/504,324
  6. Step 6: Final answer
    x = 1,209,190.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.