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Finding the Third Proportional to 519,423 and 780,639

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Solution

The third proportional to 519,423 and 780,639 is: 1,173,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,423 : 780,639 = 780,639 : x
  2. Step 2: Convert to fraction form
    519,423/780,639 = 780,639/x
  3. Step 3: Cross multiply
    519,423x = 780,639 × 780,639
  4. Step 4: Simplify right side
    519,423x = 609,397,248,321
  5. Step 5: Solve for x
    x = 609,397,248,321/519,423
  6. Step 6: Final answer
    x = 1,173,219.61

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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.