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Finding the Third Proportional to 69,627 and 121,390.50

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Solution

The third proportional to 69,627 and 121,390.50 is: 211,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,627 : 121,390.50 = 121,390.50 : x
  2. Step 2: Convert to fraction form
    69,627/121,390.50 = 121,390.50/x
  3. Step 3: Cross multiply
    69,627x = 121,390.50 × 121,390.50
  4. Step 4: Simplify right side
    69,627x = 14,735,653,490.25
  5. Step 5: Solve for x
    x = 14,735,653,490.25/69,627
  6. Step 6: Final answer
    x = 211,637.06

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.