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Finding the Third Proportional to 351,715 and 715,860

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Solution

The third proportional to 351,715 and 715,860 is: 1,457,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,715 : 715,860 = 715,860 : x
  2. Step 2: Convert to fraction form
    351,715/715,860 = 715,860/x
  3. Step 3: Cross multiply
    351,715x = 715,860 × 715,860
  4. Step 4: Simplify right side
    351,715x = 512,455,539,600
  5. Step 5: Solve for x
    x = 512,455,539,600/351,715
  6. Step 6: Final answer
    x = 1,457,019.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.