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Finding the Third Proportional to 508,628 and 769,503

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Solution

The third proportional to 508,628 and 769,503 is: 1,164,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,628 : 769,503 = 769,503 : x
  2. Step 2: Convert to fraction form
    508,628/769,503 = 769,503/x
  3. Step 3: Cross multiply
    508,628x = 769,503 × 769,503
  4. Step 4: Simplify right side
    508,628x = 592,134,867,009
  5. Step 5: Solve for x
    x = 592,134,867,009/508,628
  6. Step 6: Final answer
    x = 1,164,180.63

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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.