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Finding the Third Proportional to 72,409 and 157,690.69

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Solution

The third proportional to 72,409 and 157,690.69 is: 343,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409 : 157,690.69 = 157,690.69 : x
  2. Step 2: Convert to fraction form
    72,409/157,690.69 = 157,690.69/x
  3. Step 3: Cross multiply
    72,409x = 157,690.69 × 157,690.69
  4. Step 4: Simplify right side
    72,409x = 24,866,352,924.22
  5. Step 5: Solve for x
    x = 24,866,352,924.22/72,409
  6. Step 6: Final answer
    x = 343,415.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.