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Finding the Third Proportional to 317,212 and 430,604

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Solution

The third proportional to 317,212 and 430,604 is: 584,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,212 : 430,604 = 430,604 : x
  2. Step 2: Convert to fraction form
    317,212/430,604 = 430,604/x
  3. Step 3: Cross multiply
    317,212x = 430,604 × 430,604
  4. Step 4: Simplify right side
    317,212x = 185,419,804,816
  5. Step 5: Solve for x
    x = 185,419,804,816/317,212
  6. Step 6: Final answer
    x = 584,529.60

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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.