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Finding the Third Proportional to 701,100 and 1,050,462

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Solution

The third proportional to 701,100 and 1,050,462 is: 1,573,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,100 : 1,050,462 = 1,050,462 : x
  2. Step 2: Convert to fraction form
    701,100/1,050,462 = 1,050,462/x
  3. Step 3: Cross multiply
    701,100x = 1,050,462 × 1,050,462
  4. Step 4: Simplify right side
    701,100x = 1,103,470,413,444
  5. Step 5: Solve for x
    x = 1,103,470,413,444/701,100
  6. Step 6: Final answer
    x = 1,573,913.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.