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Finding the Third Proportional to 780,138 and 1,241,262

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Solution

The third proportional to 780,138 and 1,241,262 is: 1,974,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,138 : 1,241,262 = 1,241,262 : x
  2. Step 2: Convert to fraction form
    780,138/1,241,262 = 1,241,262/x
  3. Step 3: Cross multiply
    780,138x = 1,241,262 × 1,241,262
  4. Step 4: Simplify right side
    780,138x = 1,540,731,352,644
  5. Step 5: Solve for x
    x = 1,540,731,352,644/780,138
  6. Step 6: Final answer
    x = 1,974,947.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.