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Finding the Third Proportional to 645,932 and 1,390,576

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Solution

The third proportional to 645,932 and 1,390,576 is: 2,993,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,932 : 1,390,576 = 1,390,576 : x
  2. Step 2: Convert to fraction form
    645,932/1,390,576 = 1,390,576/x
  3. Step 3: Cross multiply
    645,932x = 1,390,576 × 1,390,576
  4. Step 4: Simplify right side
    645,932x = 1,933,701,611,776
  5. Step 5: Solve for x
    x = 1,933,701,611,776/645,932
  6. Step 6: Final answer
    x = 2,993,661.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.