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Finding the Third Proportional to 785,190 and 1,184,350.50

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Solution

The third proportional to 785,190 and 1,184,350.50 is: 1,786,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,190 : 1,184,350.50 = 1,184,350.50 : x
  2. Step 2: Convert to fraction form
    785,190/1,184,350.50 = 1,184,350.50/x
  3. Step 3: Cross multiply
    785,190x = 1,184,350.50 × 1,184,350.50
  4. Step 4: Simplify right side
    785,190x = 1,402,686,106,850.25
  5. Step 5: Solve for x
    x = 1,402,686,106,850.25/785,190
  6. Step 6: Final answer
    x = 1,786,428.90

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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.