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Finding the Third Proportional to 53,770 and 85,409

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Solution

The third proportional to 53,770 and 85,409 is: 135,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770 : 85,409 = 85,409 : x
  2. Step 2: Convert to fraction form
    53,770/85,409 = 85,409/x
  3. Step 3: Cross multiply
    53,770x = 85,409 × 85,409
  4. Step 4: Simplify right side
    53,770x = 7,294,697,281
  5. Step 5: Solve for x
    x = 7,294,697,281/53,770
  6. Step 6: Final answer
    x = 135,664.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.