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Finding the Third Proportional to 388,368 and 843,168

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Solution

The third proportional to 388,368 and 843,168 is: 1,830,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,368 : 843,168 = 843,168 : x
  2. Step 2: Convert to fraction form
    388,368/843,168 = 843,168/x
  3. Step 3: Cross multiply
    388,368x = 843,168 × 843,168
  4. Step 4: Simplify right side
    388,368x = 710,932,276,224
  5. Step 5: Solve for x
    x = 710,932,276,224/388,368
  6. Step 6: Final answer
    x = 1,830,563.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.