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Finding the Third Proportional to 519,480 and 777,129

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Solution

The third proportional to 519,480 and 777,129 is: 1,162,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,480 : 777,129 = 777,129 : x
  2. Step 2: Convert to fraction form
    519,480/777,129 = 777,129/x
  3. Step 3: Cross multiply
    519,480x = 777,129 × 777,129
  4. Step 4: Simplify right side
    519,480x = 603,929,482,641
  5. Step 5: Solve for x
    x = 603,929,482,641/519,480
  6. Step 6: Final answer
    x = 1,162,565.42

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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.