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Finding the Third Proportional to 72,146 and 159,862

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Solution

The third proportional to 72,146 and 159,862 is: 354,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,146 : 159,862 = 159,862 : x
  2. Step 2: Convert to fraction form
    72,146/159,862 = 159,862/x
  3. Step 3: Cross multiply
    72,146x = 159,862 × 159,862
  4. Step 4: Simplify right side
    72,146x = 25,555,859,044
  5. Step 5: Solve for x
    x = 25,555,859,044/72,146
  6. Step 6: Final answer
    x = 354,224.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.