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Finding the Third Proportional to 315,720 and 676,224

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Solution

The third proportional to 315,720 and 676,224 is: 1,448,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,720 : 676,224 = 676,224 : x
  2. Step 2: Convert to fraction form
    315,720/676,224 = 676,224/x
  3. Step 3: Cross multiply
    315,720x = 676,224 × 676,224
  4. Step 4: Simplify right side
    315,720x = 457,278,898,176
  5. Step 5: Solve for x
    x = 457,278,898,176/315,720
  6. Step 6: Final answer
    x = 1,448,368.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.