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Finding the Third Proportional to 488,470 and 699,894

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Solution

The third proportional to 488,470 and 699,894 is: 1,002,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,470 : 699,894 = 699,894 : x
  2. Step 2: Convert to fraction form
    488,470/699,894 = 699,894/x
  3. Step 3: Cross multiply
    488,470x = 699,894 × 699,894
  4. Step 4: Simplify right side
    488,470x = 489,851,611,236
  5. Step 5: Solve for x
    x = 489,851,611,236/488,470
  6. Step 6: Final answer
    x = 1,002,828.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.