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Finding the Third Proportional to 259,136 and 399,775

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Solution

The third proportional to 259,136 and 399,775 is: 616,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,136 : 399,775 = 399,775 : x
  2. Step 2: Convert to fraction form
    259,136/399,775 = 399,775/x
  3. Step 3: Cross multiply
    259,136x = 399,775 × 399,775
  4. Step 4: Simplify right side
    259,136x = 159,820,050,625
  5. Step 5: Solve for x
    x = 159,820,050,625/259,136
  6. Step 6: Final answer
    x = 616,741.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.