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Finding the Third Proportional to 255,232 and 380,354

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Solution

The third proportional to 255,232 and 380,354 is: 566,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,232 : 380,354 = 380,354 : x
  2. Step 2: Convert to fraction form
    255,232/380,354 = 380,354/x
  3. Step 3: Cross multiply
    255,232x = 380,354 × 380,354
  4. Step 4: Simplify right side
    255,232x = 144,669,165,316
  5. Step 5: Solve for x
    x = 144,669,165,316/255,232
  6. Step 6: Final answer
    x = 566,814.37

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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.