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Finding the Third Proportional to 780,681 and 1,740,867

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Solution

The third proportional to 780,681 and 1,740,867 is: 3,882,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,681 : 1,740,867 = 1,740,867 : x
  2. Step 2: Convert to fraction form
    780,681/1,740,867 = 1,740,867/x
  3. Step 3: Cross multiply
    780,681x = 1,740,867 × 1,740,867
  4. Step 4: Simplify right side
    780,681x = 3,030,617,911,689
  5. Step 5: Solve for x
    x = 3,030,617,911,689/780,681
  6. Step 6: Final answer
    x = 3,882,018.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.