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Finding the Third Proportional to 39,150 and 83,430

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Solution

The third proportional to 39,150 and 83,430 is: 177,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150 : 83,430 = 83,430 : x
  2. Step 2: Convert to fraction form
    39,150/83,430 = 83,430/x
  3. Step 3: Cross multiply
    39,150x = 83,430 × 83,430
  4. Step 4: Simplify right side
    39,150x = 6,960,564,900
  5. Step 5: Solve for x
    x = 6,960,564,900/39,150
  6. Step 6: Final answer
    x = 177,792.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.