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Finding the Third Proportional to 831,020 and 1,188,255

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Solution

The third proportional to 831,020 and 1,188,255 is: 1,699,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,020 : 1,188,255 = 1,188,255 : x
  2. Step 2: Convert to fraction form
    831,020/1,188,255 = 1,188,255/x
  3. Step 3: Cross multiply
    831,020x = 1,188,255 × 1,188,255
  4. Step 4: Simplify right side
    831,020x = 1,411,949,945,025
  5. Step 5: Solve for x
    x = 1,411,949,945,025/831,020
  6. Step 6: Final answer
    x = 1,699,056.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.