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Finding the Third Proportional to 72,798.75 and 159,068.81

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Solution

The third proportional to 72,798.75 and 159,068.81 is: 347,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.75 : 159,068.81 = 159,068.81 : x
  2. Step 2: Convert to fraction form
    72,798.75/159,068.81 = 159,068.81/x
  3. Step 3: Cross multiply
    72,798.75x = 159,068.81 × 159,068.81
  4. Step 4: Simplify right side
    72,798.75x = 25,302,887,110.16
  5. Step 5: Solve for x
    x = 25,302,887,110.16/72,798.75
  6. Step 6: Final answer
    x = 347,573.10

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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.