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Finding the Third Proportional to 72,901 and 159,518

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Solution

The third proportional to 72,901 and 159,518 is: 349,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,901 : 159,518 = 159,518 : x
  2. Step 2: Convert to fraction form
    72,901/159,518 = 159,518/x
  3. Step 3: Cross multiply
    72,901x = 159,518 × 159,518
  4. Step 4: Simplify right side
    72,901x = 25,445,992,324
  5. Step 5: Solve for x
    x = 25,445,992,324/72,901
  6. Step 6: Final answer
    x = 349,048.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.