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Finding the Third Proportional to 828,943 and 1,318,143

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Solution

The third proportional to 828,943 and 1,318,143 is: 2,096,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,943 : 1,318,143 = 1,318,143 : x
  2. Step 2: Convert to fraction form
    828,943/1,318,143 = 1,318,143/x
  3. Step 3: Cross multiply
    828,943x = 1,318,143 × 1,318,143
  4. Step 4: Simplify right side
    828,943x = 1,737,500,968,449
  5. Step 5: Solve for x
    x = 1,737,500,968,449/828,943
  6. Step 6: Final answer
    x = 2,096,043.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.