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Finding the Third Proportional to 520,664 and 778,956

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Solution

The third proportional to 520,664 and 778,956 is: 1,165,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,664 : 778,956 = 778,956 : x
  2. Step 2: Convert to fraction form
    520,664/778,956 = 778,956/x
  3. Step 3: Cross multiply
    520,664x = 778,956 × 778,956
  4. Step 4: Simplify right side
    520,664x = 606,772,449,936
  5. Step 5: Solve for x
    x = 606,772,449,936/520,664
  6. Step 6: Final answer
    x = 1,165,381.99

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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.