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Finding the Third Proportional to 147,880 and 320,672

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Solution

The third proportional to 147,880 and 320,672 is: 695,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,880 : 320,672 = 320,672 : x
  2. Step 2: Convert to fraction form
    147,880/320,672 = 320,672/x
  3. Step 3: Cross multiply
    147,880x = 320,672 × 320,672
  4. Step 4: Simplify right side
    147,880x = 102,830,531,584
  5. Step 5: Solve for x
    x = 102,830,531,584/147,880
  6. Step 6: Final answer
    x = 695,364.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.