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Finding the Third Proportional to 90,284 and 135,430

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Solution

The third proportional to 90,284 and 135,430 is: 203,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,284 : 135,430 = 135,430 : x
  2. Step 2: Convert to fraction form
    90,284/135,430 = 135,430/x
  3. Step 3: Cross multiply
    90,284x = 135,430 × 135,430
  4. Step 4: Simplify right side
    90,284x = 18,341,284,900
  5. Step 5: Solve for x
    x = 18,341,284,900/90,284
  6. Step 6: Final answer
    x = 203,151.00

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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.