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Finding the Third Proportional to 286,814 and 443,877

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Solution

The third proportional to 286,814 and 443,877 is: 686,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,814 : 443,877 = 443,877 : x
  2. Step 2: Convert to fraction form
    286,814/443,877 = 443,877/x
  3. Step 3: Cross multiply
    286,814x = 443,877 × 443,877
  4. Step 4: Simplify right side
    286,814x = 197,026,791,129
  5. Step 5: Solve for x
    x = 197,026,791,129/286,814
  6. Step 6: Final answer
    x = 686,949.70

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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.