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Finding the Third Proportional to 147,973 and 320,845

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Solution

The third proportional to 147,973 and 320,845 is: 695,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,973 : 320,845 = 320,845 : x
  2. Step 2: Convert to fraction form
    147,973/320,845 = 320,845/x
  3. Step 3: Cross multiply
    147,973x = 320,845 × 320,845
  4. Step 4: Simplify right side
    147,973x = 102,941,514,025
  5. Step 5: Solve for x
    x = 102,941,514,025/147,973
  6. Step 6: Final answer
    x = 695,677.68

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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.