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Finding the Third Proportional to 388,720 and 838,688

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Solution

The third proportional to 388,720 and 838,688 is: 1,809,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,720 : 838,688 = 838,688 : x
  2. Step 2: Convert to fraction form
    388,720/838,688 = 838,688/x
  3. Step 3: Cross multiply
    388,720x = 838,688 × 838,688
  4. Step 4: Simplify right side
    388,720x = 703,397,561,344
  5. Step 5: Solve for x
    x = 703,397,561,344/388,720
  6. Step 6: Final answer
    x = 1,809,522.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.