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Finding the Third Proportional to 129,952 and 190,316

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Solution

The third proportional to 129,952 and 190,316 is: 278,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,952 : 190,316 = 190,316 : x
  2. Step 2: Convert to fraction form
    129,952/190,316 = 190,316/x
  3. Step 3: Cross multiply
    129,952x = 190,316 × 190,316
  4. Step 4: Simplify right side
    129,952x = 36,220,179,856
  5. Step 5: Solve for x
    x = 36,220,179,856/129,952
  6. Step 6: Final answer
    x = 278,719.68

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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.