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Finding the Third Proportional to 207,030 and 320,689

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Solution

The third proportional to 207,030 and 320,689 is: 496,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,030 : 320,689 = 320,689 : x
  2. Step 2: Convert to fraction form
    207,030/320,689 = 320,689/x
  3. Step 3: Cross multiply
    207,030x = 320,689 × 320,689
  4. Step 4: Simplify right side
    207,030x = 102,841,434,721
  5. Step 5: Solve for x
    x = 102,841,434,721/207,030
  6. Step 6: Final answer
    x = 496,746.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.