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Finding the Third Proportional to 85,657 and 136,405.50

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Solution

The third proportional to 85,657 and 136,405.50 is: 217,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,657 : 136,405.50 = 136,405.50 : x
  2. Step 2: Convert to fraction form
    85,657/136,405.50 = 136,405.50/x
  3. Step 3: Cross multiply
    85,657x = 136,405.50 × 136,405.50
  4. Step 4: Simplify right side
    85,657x = 18,606,460,430.25
  5. Step 5: Solve for x
    x = 18,606,460,430.25/85,657
  6. Step 6: Final answer
    x = 217,220.55

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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.