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Finding the Third Proportional to 317,414 and 430,598

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Solution

The third proportional to 317,414 and 430,598 is: 584,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,414 : 430,598 = 430,598 : x
  2. Step 2: Convert to fraction form
    317,414/430,598 = 430,598/x
  3. Step 3: Cross multiply
    317,414x = 430,598 × 430,598
  4. Step 4: Simplify right side
    317,414x = 185,414,637,604
  5. Step 5: Solve for x
    x = 185,414,637,604/317,414
  6. Step 6: Final answer
    x = 584,141.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.