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Finding the Third Proportional to 501,438 and 776,775

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Solution

The third proportional to 501,438 and 776,775 is: 1,203,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,438 : 776,775 = 776,775 : x
  2. Step 2: Convert to fraction form
    501,438/776,775 = 776,775/x
  3. Step 3: Cross multiply
    501,438x = 776,775 × 776,775
  4. Step 4: Simplify right side
    501,438x = 603,379,400,625
  5. Step 5: Solve for x
    x = 603,379,400,625/501,438
  6. Step 6: Final answer
    x = 1,203,298.12

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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.