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Finding the Third Proportional to 42,319 and 90,121

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Solution

The third proportional to 42,319 and 90,121 is: 191,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,319 : 90,121 = 90,121 : x
  2. Step 2: Convert to fraction form
    42,319/90,121 = 90,121/x
  3. Step 3: Cross multiply
    42,319x = 90,121 × 90,121
  4. Step 4: Simplify right side
    42,319x = 8,121,794,641
  5. Step 5: Solve for x
    x = 8,121,794,641/42,319
  6. Step 6: Final answer
    x = 191,918.40

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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.