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Finding the Third Proportional to 32,010 and 74,418

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Solution

The third proportional to 32,010 and 74,418 is: 173,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010 : 74,418 = 74,418 : x
  2. Step 2: Convert to fraction form
    32,010/74,418 = 74,418/x
  3. Step 3: Cross multiply
    32,010x = 74,418 × 74,418
  4. Step 4: Simplify right side
    32,010x = 5,538,038,724
  5. Step 5: Solve for x
    x = 5,538,038,724/32,010
  6. Step 6: Final answer
    x = 173,009.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.