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Finding the Third Proportional to 100,966.50 and 145,435.50

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Solution

The third proportional to 100,966.50 and 145,435.50 is: 209,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.50 : 145,435.50 = 145,435.50 : x
  2. Step 2: Convert to fraction form
    100,966.50/145,435.50 = 145,435.50/x
  3. Step 3: Cross multiply
    100,966.50x = 145,435.50 × 145,435.50
  4. Step 4: Simplify right side
    100,966.50x = 21,151,484,660.25
  5. Step 5: Solve for x
    x = 21,151,484,660.25/100,966.50
  6. Step 6: Final answer
    x = 209,490.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.