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Finding the Third Proportional to 85,642 and 121,732

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Solution

The third proportional to 85,642 and 121,732 is: 173,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,642 : 121,732 = 121,732 : x
  2. Step 2: Convert to fraction form
    85,642/121,732 = 121,732/x
  3. Step 3: Cross multiply
    85,642x = 121,732 × 121,732
  4. Step 4: Simplify right side
    85,642x = 14,818,679,824
  5. Step 5: Solve for x
    x = 14,818,679,824/85,642
  6. Step 6: Final answer
    x = 173,030.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.