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Finding the Third Proportional to 780,000 and 1,681,344

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Solution

The third proportional to 780,000 and 1,681,344 is: 3,624,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,000 : 1,681,344 = 1,681,344 : x
  2. Step 2: Convert to fraction form
    780,000/1,681,344 = 1,681,344/x
  3. Step 3: Cross multiply
    780,000x = 1,681,344 × 1,681,344
  4. Step 4: Simplify right side
    780,000x = 2,826,917,646,336
  5. Step 5: Solve for x
    x = 2,826,917,646,336/780,000
  6. Step 6: Final answer
    x = 3,624,253.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.