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Finding the Third Proportional to 329,136 and 498,321

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Solution

The third proportional to 329,136 and 498,321 is: 754,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,136 : 498,321 = 498,321 : x
  2. Step 2: Convert to fraction form
    329,136/498,321 = 498,321/x
  3. Step 3: Cross multiply
    329,136x = 498,321 × 498,321
  4. Step 4: Simplify right side
    329,136x = 248,323,819,041
  5. Step 5: Solve for x
    x = 248,323,819,041/329,136
  6. Step 6: Final answer
    x = 754,471.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.