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Finding the Third Proportional to 620,085 and 930,120

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Solution

The third proportional to 620,085 and 930,120 is: 1,395,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,085 : 930,120 = 930,120 : x
  2. Step 2: Convert to fraction form
    620,085/930,120 = 930,120/x
  3. Step 3: Cross multiply
    620,085x = 930,120 × 930,120
  4. Step 4: Simplify right side
    620,085x = 865,123,214,400
  5. Step 5: Solve for x
    x = 865,123,214,400/620,085
  6. Step 6: Final answer
    x = 1,395,168.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.