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Finding the Third Proportional to 519,604 and 779,478

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Solution

The third proportional to 519,604 and 779,478 is: 1,169,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,604 : 779,478 = 779,478 : x
  2. Step 2: Convert to fraction form
    519,604/779,478 = 779,478/x
  3. Step 3: Cross multiply
    519,604x = 779,478 × 779,478
  4. Step 4: Simplify right side
    519,604x = 607,585,952,484
  5. Step 5: Solve for x
    x = 607,585,952,484/519,604
  6. Step 6: Final answer
    x = 1,169,325.01

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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.