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Finding the Third Proportional to 161,140 and 349,064

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Solution

The third proportional to 161,140 and 349,064 is: 756,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,140 : 349,064 = 349,064 : x
  2. Step 2: Convert to fraction form
    161,140/349,064 = 349,064/x
  3. Step 3: Cross multiply
    161,140x = 349,064 × 349,064
  4. Step 4: Simplify right side
    161,140x = 121,845,676,096
  5. Step 5: Solve for x
    x = 121,845,676,096/161,140
  6. Step 6: Final answer
    x = 756,147.92

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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.