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Finding the Third Proportional to 69,795 and 99,689.63

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Solution

The third proportional to 69,795 and 99,689.63 is: 142,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,795 : 99,689.63 = 99,689.63 : x
  2. Step 2: Convert to fraction form
    69,795/99,689.63 = 99,689.63/x
  3. Step 3: Cross multiply
    69,795x = 99,689.63 × 99,689.63
  4. Step 4: Simplify right side
    69,795x = 9,938,021,332.64
  5. Step 5: Solve for x
    x = 9,938,021,332.64/69,795
  6. Step 6: Final answer
    x = 142,388.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.