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Finding the Third Proportional to 862,698 and 1,306,138

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Solution

The third proportional to 862,698 and 1,306,138 is: 1,977,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,698 : 1,306,138 = 1,306,138 : x
  2. Step 2: Convert to fraction form
    862,698/1,306,138 = 1,306,138/x
  3. Step 3: Cross multiply
    862,698x = 1,306,138 × 1,306,138
  4. Step 4: Simplify right side
    862,698x = 1,705,996,475,044
  5. Step 5: Solve for x
    x = 1,705,996,475,044/862,698
  6. Step 6: Final answer
    x = 1,977,512.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.