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Finding the Third Proportional to 42,288.75 and 90,207

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Solution

The third proportional to 42,288.75 and 90,207 is: 192,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,288.75 : 90,207 = 90,207 : x
  2. Step 2: Convert to fraction form
    42,288.75/90,207 = 90,207/x
  3. Step 3: Cross multiply
    42,288.75x = 90,207 × 90,207
  4. Step 4: Simplify right side
    42,288.75x = 8,137,302,849
  5. Step 5: Solve for x
    x = 8,137,302,849/42,288.75
  6. Step 6: Final answer
    x = 192,422.40

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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.