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Finding the Third Proportional to 362,780 and 787,700

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Solution

The third proportional to 362,780 and 787,700 is: 1,710,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,780 : 787,700 = 787,700 : x
  2. Step 2: Convert to fraction form
    362,780/787,700 = 787,700/x
  3. Step 3: Cross multiply
    362,780x = 787,700 × 787,700
  4. Step 4: Simplify right side
    362,780x = 620,471,290,000
  5. Step 5: Solve for x
    x = 620,471,290,000/362,780
  6. Step 6: Final answer
    x = 1,710,323.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.