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Finding the Third Proportional to 870,912 and 1,368,576

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Solution

The third proportional to 870,912 and 1,368,576 is: 2,150,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,912 : 1,368,576 = 1,368,576 : x
  2. Step 2: Convert to fraction form
    870,912/1,368,576 = 1,368,576/x
  3. Step 3: Cross multiply
    870,912x = 1,368,576 × 1,368,576
  4. Step 4: Simplify right side
    870,912x = 1,873,000,267,776
  5. Step 5: Solve for x
    x = 1,873,000,267,776/870,912
  6. Step 6: Final answer
    x = 2,150,619.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.