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Finding the Third Proportional to 85,430 and 172,642

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Solution

The third proportional to 85,430 and 172,642 is: 348,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,430 : 172,642 = 172,642 : x
  2. Step 2: Convert to fraction form
    85,430/172,642 = 172,642/x
  3. Step 3: Cross multiply
    85,430x = 172,642 × 172,642
  4. Step 4: Simplify right side
    85,430x = 29,805,260,164
  5. Step 5: Solve for x
    x = 29,805,260,164/85,430
  6. Step 6: Final answer
    x = 348,885.17

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.