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Finding the Third Proportional to 257,690.25 and 385,345.13

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Solution

The third proportional to 257,690.25 and 385,345.13 is: 576,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.25 : 385,345.13 = 385,345.13 : x
  2. Step 2: Convert to fraction form
    257,690.25/385,345.13 = 385,345.13/x
  3. Step 3: Cross multiply
    257,690.25x = 385,345.13 × 385,345.13
  4. Step 4: Simplify right side
    257,690.25x = 148,490,865,361.27
  5. Step 5: Solve for x
    x = 148,490,865,361.27/257,690.25
  6. Step 6: Final answer
    x = 576,237.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.