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Finding the Third Proportional to 149,206 and 320,498

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Solution

The third proportional to 149,206 and 320,498 is: 688,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,206 : 320,498 = 320,498 : x
  2. Step 2: Convert to fraction form
    149,206/320,498 = 320,498/x
  3. Step 3: Cross multiply
    149,206x = 320,498 × 320,498
  4. Step 4: Simplify right side
    149,206x = 102,718,968,004
  5. Step 5: Solve for x
    x = 102,718,968,004/149,206
  6. Step 6: Final answer
    x = 688,437.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.