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Finding the Third Proportional to 288,153 and 422,887.50

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Solution

The third proportional to 288,153 and 422,887.50 is: 620,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,153 : 422,887.50 = 422,887.50 : x
  2. Step 2: Convert to fraction form
    288,153/422,887.50 = 422,887.50/x
  3. Step 3: Cross multiply
    288,153x = 422,887.50 × 422,887.50
  4. Step 4: Simplify right side
    288,153x = 178,833,837,656.25
  5. Step 5: Solve for x
    x = 178,833,837,656.25/288,153
  6. Step 6: Final answer
    x = 620,621.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.