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Finding the Third Proportional to 73,535.50 and 103,553

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Solution

The third proportional to 73,535.50 and 103,553 is: 145,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,535.50 : 103,553 = 103,553 : x
  2. Step 2: Convert to fraction form
    73,535.50/103,553 = 103,553/x
  3. Step 3: Cross multiply
    73,535.50x = 103,553 × 103,553
  4. Step 4: Simplify right side
    73,535.50x = 10,723,223,809
  5. Step 5: Solve for x
    x = 10,723,223,809/73,535.50
  6. Step 6: Final answer
    x = 145,823.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.