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Finding the Third Proportional to 399,663 and 598,278

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Solution

The third proportional to 399,663 and 598,278 is: 895,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,663 : 598,278 = 598,278 : x
  2. Step 2: Convert to fraction form
    399,663/598,278 = 598,278/x
  3. Step 3: Cross multiply
    399,663x = 598,278 × 598,278
  4. Step 4: Simplify right side
    399,663x = 357,936,565,284
  5. Step 5: Solve for x
    x = 357,936,565,284/399,663
  6. Step 6: Final answer
    x = 895,595.95

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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.