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Finding the Third Proportional to 147,208 and 317,732

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Solution

The third proportional to 147,208 and 317,732 is: 685,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,208 : 317,732 = 317,732 : x
  2. Step 2: Convert to fraction form
    147,208/317,732 = 317,732/x
  3. Step 3: Cross multiply
    147,208x = 317,732 × 317,732
  4. Step 4: Simplify right side
    147,208x = 100,953,623,824
  5. Step 5: Solve for x
    x = 100,953,623,824/147,208
  6. Step 6: Final answer
    x = 685,788.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.