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Finding the Third Proportional to 255,767.50 and 387,202

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Solution

The third proportional to 255,767.50 and 387,202 is: 586,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,767.50 : 387,202 = 387,202 : x
  2. Step 2: Convert to fraction form
    255,767.50/387,202 = 387,202/x
  3. Step 3: Cross multiply
    255,767.50x = 387,202 × 387,202
  4. Step 4: Simplify right side
    255,767.50x = 149,925,388,804
  5. Step 5: Solve for x
    x = 149,925,388,804/255,767.50
  6. Step 6: Final answer
    x = 586,178.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.