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Finding the Third Proportional to 140,166 and 315,423

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Solution

The third proportional to 140,166 and 315,423 is: 709,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,166 : 315,423 = 315,423 : x
  2. Step 2: Convert to fraction form
    140,166/315,423 = 315,423/x
  3. Step 3: Cross multiply
    140,166x = 315,423 × 315,423
  4. Step 4: Simplify right side
    140,166x = 99,491,668,929
  5. Step 5: Solve for x
    x = 99,491,668,929/140,166
  6. Step 6: Final answer
    x = 709,813.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.