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Finding the Third Proportional to 520,021 and 776,629.50

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Solution

The third proportional to 520,021 and 776,629.50 is: 1,159,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,021 : 776,629.50 = 776,629.50 : x
  2. Step 2: Convert to fraction form
    520,021/776,629.50 = 776,629.50/x
  3. Step 3: Cross multiply
    520,021x = 776,629.50 × 776,629.50
  4. Step 4: Simplify right side
    520,021x = 603,153,380,270.25
  5. Step 5: Solve for x
    x = 603,153,380,270.25/520,021
  6. Step 6: Final answer
    x = 1,159,863.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.