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Finding the Third Proportional to 71,808 and 153,391

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Solution

The third proportional to 71,808 and 153,391 is: 327,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808 : 153,391 = 153,391 : x
  2. Step 2: Convert to fraction form
    71,808/153,391 = 153,391/x
  3. Step 3: Cross multiply
    71,808x = 153,391 × 153,391
  4. Step 4: Simplify right side
    71,808x = 23,528,798,881
  5. Step 5: Solve for x
    x = 23,528,798,881/71,808
  6. Step 6: Final answer
    x = 327,662.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.