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Finding the Third Proportional to 136,352 and 318,462

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Solution

The third proportional to 136,352 and 318,462 is: 743,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,352 : 318,462 = 318,462 : x
  2. Step 2: Convert to fraction form
    136,352/318,462 = 318,462/x
  3. Step 3: Cross multiply
    136,352x = 318,462 × 318,462
  4. Step 4: Simplify right side
    136,352x = 101,418,045,444
  5. Step 5: Solve for x
    x = 101,418,045,444/136,352
  6. Step 6: Final answer
    x = 743,795.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.