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Finding the Third Proportional to 479,508 and 720,492

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Solution

The third proportional to 479,508 and 720,492 is: 1,082,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,508 : 720,492 = 720,492 : x
  2. Step 2: Convert to fraction form
    479,508/720,492 = 720,492/x
  3. Step 3: Cross multiply
    479,508x = 720,492 × 720,492
  4. Step 4: Simplify right side
    479,508x = 519,108,722,064
  5. Step 5: Solve for x
    x = 519,108,722,064/479,508
  6. Step 6: Final answer
    x = 1,082,586.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.