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Finding the Third Proportional to 70,537.50 and 109,265.63

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Solution

The third proportional to 70,537.50 and 109,265.63 is: 169,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.50 : 109,265.63 = 109,265.63 : x
  2. Step 2: Convert to fraction form
    70,537.50/109,265.63 = 109,265.63/x
  3. Step 3: Cross multiply
    70,537.50x = 109,265.63 × 109,265.63
  4. Step 4: Simplify right side
    70,537.50x = 11,938,976,806.64
  5. Step 5: Solve for x
    x = 11,938,976,806.64/70,537.50
  6. Step 6: Final answer
    x = 169,257.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.