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Finding the Third Proportional to 286,804 and 443,862

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Solution

The third proportional to 286,804 and 443,862 is: 686,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,804 : 443,862 = 443,862 : x
  2. Step 2: Convert to fraction form
    286,804/443,862 = 443,862/x
  3. Step 3: Cross multiply
    286,804x = 443,862 × 443,862
  4. Step 4: Simplify right side
    286,804x = 197,013,475,044
  5. Step 5: Solve for x
    x = 197,013,475,044/286,804
  6. Step 6: Final answer
    x = 686,927.22

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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.