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Finding the Third Proportional to 141,810 and 309,378

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Solution

The third proportional to 141,810 and 309,378 is: 674,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,810 : 309,378 = 309,378 : x
  2. Step 2: Convert to fraction form
    141,810/309,378 = 309,378/x
  3. Step 3: Cross multiply
    141,810x = 309,378 × 309,378
  4. Step 4: Simplify right side
    141,810x = 95,714,746,884
  5. Step 5: Solve for x
    x = 95,714,746,884/141,810
  6. Step 6: Final answer
    x = 674,950.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.