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Finding the Third Proportional to 839,205 and 1,265,775

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Solution

The third proportional to 839,205 and 1,265,775 is: 1,909,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,205 : 1,265,775 = 1,265,775 : x
  2. Step 2: Convert to fraction form
    839,205/1,265,775 = 1,265,775/x
  3. Step 3: Cross multiply
    839,205x = 1,265,775 × 1,265,775
  4. Step 4: Simplify right side
    839,205x = 1,602,186,350,625
  5. Step 5: Solve for x
    x = 1,602,186,350,625/839,205
  6. Step 6: Final answer
    x = 1,909,171.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.