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Finding the Third Proportional to 331,645 and 710,603

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Solution

The third proportional to 331,645 and 710,603 is: 1,522,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,645 : 710,603 = 710,603 : x
  2. Step 2: Convert to fraction form
    331,645/710,603 = 710,603/x
  3. Step 3: Cross multiply
    331,645x = 710,603 × 710,603
  4. Step 4: Simplify right side
    331,645x = 504,956,623,609
  5. Step 5: Solve for x
    x = 504,956,623,609/331,645
  6. Step 6: Final answer
    x = 1,522,581.75

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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.