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Finding the Third Proportional to 178,421.75 and 260,931.75

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Solution

The third proportional to 178,421.75 and 260,931.75 is: 381,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,421.75 : 260,931.75 = 260,931.75 : x
  2. Step 2: Convert to fraction form
    178,421.75/260,931.75 = 260,931.75/x
  3. Step 3: Cross multiply
    178,421.75x = 260,931.75 × 260,931.75
  4. Step 4: Simplify right side
    178,421.75x = 68,085,378,158.06
  5. Step 5: Solve for x
    x = 68,085,378,158.06/178,421.75
  6. Step 6: Final answer
    x = 381,597.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.