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Finding the Third Proportional to 145,488 and 313,224

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Solution

The third proportional to 145,488 and 313,224 is: 674,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,488 : 313,224 = 313,224 : x
  2. Step 2: Convert to fraction form
    145,488/313,224 = 313,224/x
  3. Step 3: Cross multiply
    145,488x = 313,224 × 313,224
  4. Step 4: Simplify right side
    145,488x = 98,109,274,176
  5. Step 5: Solve for x
    x = 98,109,274,176/145,488
  6. Step 6: Final answer
    x = 674,346.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.