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Finding the Third Proportional to 71,043 and 153,153.75

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Solution

The third proportional to 71,043 and 153,153.75 is: 330,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,043 : 153,153.75 = 153,153.75 : x
  2. Step 2: Convert to fraction form
    71,043/153,153.75 = 153,153.75/x
  3. Step 3: Cross multiply
    71,043x = 153,153.75 × 153,153.75
  4. Step 4: Simplify right side
    71,043x = 23,456,071,139.06
  5. Step 5: Solve for x
    x = 23,456,071,139.06/71,043
  6. Step 6: Final answer
    x = 330,167.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.