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Finding the Third Proportional to 317,409 and 430,596

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Solution

The third proportional to 317,409 and 430,596 is: 584,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,409 : 430,596 = 430,596 : x
  2. Step 2: Convert to fraction form
    317,409/430,596 = 430,596/x
  3. Step 3: Cross multiply
    317,409x = 430,596 × 430,596
  4. Step 4: Simplify right side
    317,409x = 185,412,915,216
  5. Step 5: Solve for x
    x = 185,412,915,216/317,409
  6. Step 6: Final answer
    x = 584,145.11

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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.