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Finding the Third Proportional to 147,632 and 320,272

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Solution

The third proportional to 147,632 and 320,272 is: 694,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,632 : 320,272 = 320,272 : x
  2. Step 2: Convert to fraction form
    147,632/320,272 = 320,272/x
  3. Step 3: Cross multiply
    147,632x = 320,272 × 320,272
  4. Step 4: Simplify right side
    147,632x = 102,574,153,984
  5. Step 5: Solve for x
    x = 102,574,153,984/147,632
  6. Step 6: Final answer
    x = 694,796.21

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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.