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Finding the Third Proportional to 53,319 and 80,391

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Solution

The third proportional to 53,319 and 80,391 is: 121,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319 : 80,391 = 80,391 : x
  2. Step 2: Convert to fraction form
    53,319/80,391 = 80,391/x
  3. Step 3: Cross multiply
    53,319x = 80,391 × 80,391
  4. Step 4: Simplify right side
    53,319x = 6,462,712,881
  5. Step 5: Solve for x
    x = 6,462,712,881/53,319
  6. Step 6: Final answer
    x = 121,208.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.