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Finding the Third Proportional to 317,152 and 434,908

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Solution

The third proportional to 317,152 and 434,908 is: 596,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,152 : 434,908 = 434,908 : x
  2. Step 2: Convert to fraction form
    317,152/434,908 = 434,908/x
  3. Step 3: Cross multiply
    317,152x = 434,908 × 434,908
  4. Step 4: Simplify right side
    317,152x = 189,144,968,464
  5. Step 5: Solve for x
    x = 189,144,968,464/317,152
  6. Step 6: Final answer
    x = 596,385.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.