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Finding the Third Proportional to 143,715 and 302,316

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Solution

The third proportional to 143,715 and 302,316 is: 635,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,715 : 302,316 = 302,316 : x
  2. Step 2: Convert to fraction form
    143,715/302,316 = 302,316/x
  3. Step 3: Cross multiply
    143,715x = 302,316 × 302,316
  4. Step 4: Simplify right side
    143,715x = 91,394,963,856
  5. Step 5: Solve for x
    x = 91,394,963,856/143,715
  6. Step 6: Final answer
    x = 635,945.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.