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Finding the Third Proportional to 329,330 and 473,259

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Solution

The third proportional to 329,330 and 473,259 is: 680,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,330 : 473,259 = 473,259 : x
  2. Step 2: Convert to fraction form
    329,330/473,259 = 473,259/x
  3. Step 3: Cross multiply
    329,330x = 473,259 × 473,259
  4. Step 4: Simplify right side
    329,330x = 223,974,081,081
  5. Step 5: Solve for x
    x = 223,974,081,081/329,330
  6. Step 6: Final answer
    x = 680,090.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.