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Finding the Third Proportional to 259,209 and 423,265

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Solution

The third proportional to 259,209 and 423,265 is: 691,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,209 : 423,265 = 423,265 : x
  2. Step 2: Convert to fraction form
    259,209/423,265 = 423,265/x
  3. Step 3: Cross multiply
    259,209x = 423,265 × 423,265
  4. Step 4: Simplify right side
    259,209x = 179,153,260,225
  5. Step 5: Solve for x
    x = 179,153,260,225/259,209
  6. Step 6: Final answer
    x = 691,153.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.