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Finding the Third Proportional to 510,626 and 779,763

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Solution

The third proportional to 510,626 and 779,763 is: 1,190,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,626 : 779,763 = 779,763 : x
  2. Step 2: Convert to fraction form
    510,626/779,763 = 779,763/x
  3. Step 3: Cross multiply
    510,626x = 779,763 × 779,763
  4. Step 4: Simplify right side
    510,626x = 608,030,336,169
  5. Step 5: Solve for x
    x = 608,030,336,169/510,626
  6. Step 6: Final answer
    x = 1,190,754.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.