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Finding the Third Proportional to 172,303.14 and 257,416.73

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Solution

The third proportional to 172,303.14 and 257,416.73 is: 384,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,303.14 : 257,416.73 = 257,416.73 : x
  2. Step 2: Convert to fraction form
    172,303.14/257,416.73 = 257,416.73/x
  3. Step 3: Cross multiply
    172,303.14x = 257,416.73 × 257,416.73
  4. Step 4: Simplify right side
    172,303.14x = 66,263,375,136.29
  5. Step 5: Solve for x
    x = 66,263,375,136.29/172,303.14
  6. Step 6: Final answer
    x = 384,574.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.