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Finding the Third Proportional to 780,140 and 1,241,265

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Solution

The third proportional to 780,140 and 1,241,265 is: 1,974,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,140 : 1,241,265 = 1,241,265 : x
  2. Step 2: Convert to fraction form
    780,140/1,241,265 = 1,241,265/x
  3. Step 3: Cross multiply
    780,140x = 1,241,265 × 1,241,265
  4. Step 4: Simplify right side
    780,140x = 1,540,738,800,225
  5. Step 5: Solve for x
    x = 1,540,738,800,225/780,140
  6. Step 6: Final answer
    x = 1,974,951.68

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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.