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Finding the Third Proportional to 328,494 and 709,500

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Solution

The third proportional to 328,494 and 709,500 is: 1,532,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,494 : 709,500 = 709,500 : x
  2. Step 2: Convert to fraction form
    328,494/709,500 = 709,500/x
  3. Step 3: Cross multiply
    328,494x = 709,500 × 709,500
  4. Step 4: Simplify right side
    328,494x = 503,390,250,000
  5. Step 5: Solve for x
    x = 503,390,250,000/328,494
  6. Step 6: Final answer
    x = 1,532,418.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.