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Finding the Third Proportional to 317,516 and 431,222

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Solution

The third proportional to 317,516 and 431,222 is: 585,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,516 : 431,222 = 431,222 : x
  2. Step 2: Convert to fraction form
    317,516/431,222 = 431,222/x
  3. Step 3: Cross multiply
    317,516x = 431,222 × 431,222
  4. Step 4: Simplify right side
    317,516x = 185,952,413,284
  5. Step 5: Solve for x
    x = 185,952,413,284/317,516
  6. Step 6: Final answer
    x = 585,647.38

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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.