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Finding the Third Proportional to 519,428 and 780,647

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Solution

The third proportional to 519,428 and 780,647 is: 1,173,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,428 : 780,647 = 780,647 : x
  2. Step 2: Convert to fraction form
    519,428/780,647 = 780,647/x
  3. Step 3: Cross multiply
    519,428x = 780,647 × 780,647
  4. Step 4: Simplify right side
    519,428x = 609,409,738,609
  5. Step 5: Solve for x
    x = 609,409,738,609/519,428
  6. Step 6: Final answer
    x = 1,173,232.36

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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.