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Finding the Third Proportional to 479,512 and 720,498

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Solution

The third proportional to 479,512 and 720,498 is: 1,082,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,512 : 720,498 = 720,498 : x
  2. Step 2: Convert to fraction form
    479,512/720,498 = 720,498/x
  3. Step 3: Cross multiply
    479,512x = 720,498 × 720,498
  4. Step 4: Simplify right side
    479,512x = 519,117,368,004
  5. Step 5: Solve for x
    x = 519,117,368,004/479,512
  6. Step 6: Final answer
    x = 1,082,595.16

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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.