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Finding the Third Proportional to 317,402 and 421,239

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Solution

The third proportional to 317,402 and 421,239 is: 559,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,402 : 421,239 = 421,239 : x
  2. Step 2: Convert to fraction form
    317,402/421,239 = 421,239/x
  3. Step 3: Cross multiply
    317,402x = 421,239 × 421,239
  4. Step 4: Simplify right side
    317,402x = 177,442,295,121
  5. Step 5: Solve for x
    x = 177,442,295,121/317,402
  6. Step 6: Final answer
    x = 559,045.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.