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Finding the Third Proportional to 393,891 and 611,070

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Solution

The third proportional to 393,891 and 611,070 is: 947,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,891 : 611,070 = 611,070 : x
  2. Step 2: Convert to fraction form
    393,891/611,070 = 611,070/x
  3. Step 3: Cross multiply
    393,891x = 611,070 × 611,070
  4. Step 4: Simplify right side
    393,891x = 373,406,544,900
  5. Step 5: Solve for x
    x = 373,406,544,900/393,891
  6. Step 6: Final answer
    x = 947,994.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.