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Finding the Third Proportional to 331,712 and 710,749

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Solution

The third proportional to 331,712 and 710,749 is: 1,522,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712 : 710,749 = 710,749 : x
  2. Step 2: Convert to fraction form
    331,712/710,749 = 710,749/x
  3. Step 3: Cross multiply
    331,712x = 710,749 × 710,749
  4. Step 4: Simplify right side
    331,712x = 505,164,141,001
  5. Step 5: Solve for x
    x = 505,164,141,001/331,712
  6. Step 6: Final answer
    x = 1,522,899.81

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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.