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Finding the Third Proportional to 145,715 and 231,701

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Solution

The third proportional to 145,715 and 231,701 is: 368,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,715 : 231,701 = 231,701 : x
  2. Step 2: Convert to fraction form
    145,715/231,701 = 231,701/x
  3. Step 3: Cross multiply
    145,715x = 231,701 × 231,701
  4. Step 4: Simplify right side
    145,715x = 53,685,353,401
  5. Step 5: Solve for x
    x = 53,685,353,401/145,715
  6. Step 6: Final answer
    x = 368,427.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.