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Finding the Third Proportional to 70,423 and 146,651

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Solution

The third proportional to 70,423 and 146,651 is: 305,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,423 : 146,651 = 146,651 : x
  2. Step 2: Convert to fraction form
    70,423/146,651 = 146,651/x
  3. Step 3: Cross multiply
    70,423x = 146,651 × 146,651
  4. Step 4: Simplify right side
    70,423x = 21,506,515,801
  5. Step 5: Solve for x
    x = 21,506,515,801/70,423
  6. Step 6: Final answer
    x = 305,390.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.