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Finding the Third Proportional to 703,638 and 1,372,281

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Solution

The third proportional to 703,638 and 1,372,281 is: 2,676,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,638 : 1,372,281 = 1,372,281 : x
  2. Step 2: Convert to fraction form
    703,638/1,372,281 = 1,372,281/x
  3. Step 3: Cross multiply
    703,638x = 1,372,281 × 1,372,281
  4. Step 4: Simplify right side
    703,638x = 1,883,155,142,961
  5. Step 5: Solve for x
    x = 1,883,155,142,961/703,638
  6. Step 6: Final answer
    x = 2,676,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.