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Finding the Third Proportional to 194,378 and 317,402

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Solution

The third proportional to 194,378 and 317,402 is: 518,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,378 : 317,402 = 317,402 : x
  2. Step 2: Convert to fraction form
    194,378/317,402 = 317,402/x
  3. Step 3: Cross multiply
    194,378x = 317,402 × 317,402
  4. Step 4: Simplify right side
    194,378x = 100,744,029,604
  5. Step 5: Solve for x
    x = 100,744,029,604/194,378
  6. Step 6: Final answer
    x = 518,289.26

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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.