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Finding the Third Proportional to 257,710 and 362,913

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Solution

The third proportional to 257,710 and 362,913 is: 511,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710 : 362,913 = 362,913 : x
  2. Step 2: Convert to fraction form
    257,710/362,913 = 362,913/x
  3. Step 3: Cross multiply
    257,710x = 362,913 × 362,913
  4. Step 4: Simplify right side
    257,710x = 131,705,845,569
  5. Step 5: Solve for x
    x = 131,705,845,569/257,710
  6. Step 6: Final answer
    x = 511,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.