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Finding the Third Proportional to 187,921.69 and 255,312.84

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Solution

The third proportional to 187,921.69 and 255,312.84 is: 346,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,921.69 : 255,312.84 = 255,312.84 : x
  2. Step 2: Convert to fraction form
    187,921.69/255,312.84 = 255,312.84/x
  3. Step 3: Cross multiply
    187,921.69x = 255,312.84 × 255,312.84
  4. Step 4: Simplify right side
    187,921.69x = 65,184,648,183.71
  5. Step 5: Solve for x
    x = 65,184,648,183.71/187,921.69
  6. Step 6: Final answer
    x = 346,871.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.