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Finding the Third Proportional to 129,620 and 185,354

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Solution

The third proportional to 129,620 and 185,354 is: 265,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,620 : 185,354 = 185,354 : x
  2. Step 2: Convert to fraction form
    129,620/185,354 = 185,354/x
  3. Step 3: Cross multiply
    129,620x = 185,354 × 185,354
  4. Step 4: Simplify right side
    129,620x = 34,356,105,316
  5. Step 5: Solve for x
    x = 34,356,105,316/129,620
  6. Step 6: Final answer
    x = 265,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.