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Finding the Third Proportional to 278,155 and 569,533.50

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Solution

The third proportional to 278,155 and 569,533.50 is: 1,166,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,155 : 569,533.50 = 569,533.50 : x
  2. Step 2: Convert to fraction form
    278,155/569,533.50 = 569,533.50/x
  3. Step 3: Cross multiply
    278,155x = 569,533.50 × 569,533.50
  4. Step 4: Simplify right side
    278,155x = 324,368,407,622.25
  5. Step 5: Solve for x
    x = 324,368,407,622.25/278,155
  6. Step 6: Final answer
    x = 1,166,142.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.