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Finding the Third Proportional to 387,764 and 831,688

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Solution

The third proportional to 387,764 and 831,688 is: 1,783,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,764 : 831,688 = 831,688 : x
  2. Step 2: Convert to fraction form
    387,764/831,688 = 831,688/x
  3. Step 3: Cross multiply
    387,764x = 831,688 × 831,688
  4. Step 4: Simplify right side
    387,764x = 691,704,929,344
  5. Step 5: Solve for x
    x = 691,704,929,344/387,764
  6. Step 6: Final answer
    x = 1,783,829.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.