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Finding the Third Proportional to 137,286 and 320,724

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Solution

The third proportional to 137,286 and 320,724 is: 749,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286 : 320,724 = 320,724 : x
  2. Step 2: Convert to fraction form
    137,286/320,724 = 320,724/x
  3. Step 3: Cross multiply
    137,286x = 320,724 × 320,724
  4. Step 4: Simplify right side
    137,286x = 102,863,884,176
  5. Step 5: Solve for x
    x = 102,863,884,176/137,286
  6. Step 6: Final answer
    x = 749,267.11

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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.