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Finding the Third Proportional to 72,116.63 and 157,805.81

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Solution

The third proportional to 72,116.63 and 157,805.81 is: 345,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,116.63 : 157,805.81 = 157,805.81 : x
  2. Step 2: Convert to fraction form
    72,116.63/157,805.81 = 157,805.81/x
  3. Step 3: Cross multiply
    72,116.63x = 157,805.81 × 157,805.81
  4. Step 4: Simplify right side
    72,116.63x = 24,902,674,458.79
  5. Step 5: Solve for x
    x = 24,902,674,458.79/72,116.63
  6. Step 6: Final answer
    x = 345,311.15

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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.