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Finding the Third Proportional to 71,316 and 151,808

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Solution

The third proportional to 71,316 and 151,808 is: 323,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,316 : 151,808 = 151,808 : x
  2. Step 2: Convert to fraction form
    71,316/151,808 = 151,808/x
  3. Step 3: Cross multiply
    71,316x = 151,808 × 151,808
  4. Step 4: Simplify right side
    71,316x = 23,045,668,864
  5. Step 5: Solve for x
    x = 23,045,668,864/71,316
  6. Step 6: Final answer
    x = 323,148.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.