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Finding the Third Proportional to 382,704 and 842,688

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Solution

The third proportional to 382,704 and 842,688 is: 1,855,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,704 : 842,688 = 842,688 : x
  2. Step 2: Convert to fraction form
    382,704/842,688 = 842,688/x
  3. Step 3: Cross multiply
    382,704x = 842,688 × 842,688
  4. Step 4: Simplify right side
    382,704x = 710,123,065,344
  5. Step 5: Solve for x
    x = 710,123,065,344/382,704
  6. Step 6: Final answer
    x = 1,855,541.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.