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Finding the Third Proportional to 96,434 and 144,555.50

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Solution

The third proportional to 96,434 and 144,555.50 is: 216,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434 : 144,555.50 = 144,555.50 : x
  2. Step 2: Convert to fraction form
    96,434/144,555.50 = 144,555.50/x
  3. Step 3: Cross multiply
    96,434x = 144,555.50 × 144,555.50
  4. Step 4: Simplify right side
    96,434x = 20,896,292,580.25
  5. Step 5: Solve for x
    x = 20,896,292,580.25/96,434
  6. Step 6: Final answer
    x = 216,690.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.