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Finding the Third Proportional to 141,788 and 309,332

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Solution

The third proportional to 141,788 and 309,332 is: 674,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,788 : 309,332 = 309,332 : x
  2. Step 2: Convert to fraction form
    141,788/309,332 = 309,332/x
  3. Step 3: Cross multiply
    141,788x = 309,332 × 309,332
  4. Step 4: Simplify right side
    141,788x = 95,686,286,224
  5. Step 5: Solve for x
    x = 95,686,286,224/141,788
  6. Step 6: Final answer
    x = 674,854.62

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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.