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Finding the Third Proportional to 331,620 and 710,556

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Solution

The third proportional to 331,620 and 710,556 is: 1,522,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,620 : 710,556 = 710,556 : x
  2. Step 2: Convert to fraction form
    331,620/710,556 = 710,556/x
  3. Step 3: Cross multiply
    331,620x = 710,556 × 710,556
  4. Step 4: Simplify right side
    331,620x = 504,889,829,136
  5. Step 5: Solve for x
    x = 504,889,829,136/331,620
  6. Step 6: Final answer
    x = 1,522,495.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.