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Finding the Third Proportional to 439,946 and 686,211

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Solution

The third proportional to 439,946 and 686,211 is: 1,070,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,946 : 686,211 = 686,211 : x
  2. Step 2: Convert to fraction form
    439,946/686,211 = 686,211/x
  3. Step 3: Cross multiply
    439,946x = 686,211 × 686,211
  4. Step 4: Simplify right side
    439,946x = 470,885,536,521
  5. Step 5: Solve for x
    x = 470,885,536,521/439,946
  6. Step 6: Final answer
    x = 1,070,325.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.