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Finding the Third Proportional to 317,985 and 431,799

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Solution

The third proportional to 317,985 and 431,799 is: 586,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,985 : 431,799 = 431,799 : x
  2. Step 2: Convert to fraction form
    317,985/431,799 = 431,799/x
  3. Step 3: Cross multiply
    317,985x = 431,799 × 431,799
  4. Step 4: Simplify right side
    317,985x = 186,450,376,401
  5. Step 5: Solve for x
    x = 186,450,376,401/317,985
  6. Step 6: Final answer
    x = 586,349.60

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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.