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Finding the Third Proportional to 70,152.75 and 91,491.19

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Solution

The third proportional to 70,152.75 and 91,491.19 is: 119,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.75 : 91,491.19 = 91,491.19 : x
  2. Step 2: Convert to fraction form
    70,152.75/91,491.19 = 91,491.19/x
  3. Step 3: Cross multiply
    70,152.75x = 91,491.19 × 91,491.19
  4. Step 4: Simplify right side
    70,152.75x = 8,370,637,390.16
  5. Step 5: Solve for x
    x = 8,370,637,390.16/70,152.75
  6. Step 6: Final answer
    x = 119,320.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.