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Finding the Third Proportional to 42,705 and 99,795.75

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Solution

The third proportional to 42,705 and 99,795.75 is: 233,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705 : 99,795.75 = 99,795.75 : x
  2. Step 2: Convert to fraction form
    42,705/99,795.75 = 99,795.75/x
  3. Step 3: Cross multiply
    42,705x = 99,795.75 × 99,795.75
  4. Step 4: Simplify right side
    42,705x = 9,959,191,718.06
  5. Step 5: Solve for x
    x = 9,959,191,718.06/42,705
  6. Step 6: Final answer
    x = 233,209.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.