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Finding the Third Proportional to 317,460 and 431,145

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Solution

The third proportional to 317,460 and 431,145 is: 585,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460 : 431,145 = 431,145 : x
  2. Step 2: Convert to fraction form
    317,460/431,145 = 431,145/x
  3. Step 3: Cross multiply
    317,460x = 431,145 × 431,145
  4. Step 4: Simplify right side
    317,460x = 185,886,011,025
  5. Step 5: Solve for x
    x = 185,886,011,025/317,460
  6. Step 6: Final answer
    x = 585,541.52

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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.