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Finding the Third Proportional to 180,209 and 259,585

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Solution

The third proportional to 180,209 and 259,585 is: 373,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,209 : 259,585 = 259,585 : x
  2. Step 2: Convert to fraction form
    180,209/259,585 = 259,585/x
  3. Step 3: Cross multiply
    180,209x = 259,585 × 259,585
  4. Step 4: Simplify right side
    180,209x = 67,384,372,225
  5. Step 5: Solve for x
    x = 67,384,372,225/180,209
  6. Step 6: Final answer
    x = 373,923.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.