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Finding the Third Proportional to 158,430 and 352,280

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Solution

The third proportional to 158,430 and 352,280 is: 783,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,430 : 352,280 = 352,280 : x
  2. Step 2: Convert to fraction form
    158,430/352,280 = 352,280/x
  3. Step 3: Cross multiply
    158,430x = 352,280 × 352,280
  4. Step 4: Simplify right side
    158,430x = 124,101,198,400
  5. Step 5: Solve for x
    x = 124,101,198,400/158,430
  6. Step 6: Final answer
    x = 783,318.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.