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Finding the Third Proportional to 388,860 and 838,416

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Solution

The third proportional to 388,860 and 838,416 is: 1,807,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,860 : 838,416 = 838,416 : x
  2. Step 2: Convert to fraction form
    388,860/838,416 = 838,416/x
  3. Step 3: Cross multiply
    388,860x = 838,416 × 838,416
  4. Step 4: Simplify right side
    388,860x = 702,941,389,056
  5. Step 5: Solve for x
    x = 702,941,389,056/388,860
  6. Step 6: Final answer
    x = 1,807,697.86

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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.