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Finding the Third Proportional to 72,636 and 157,335.75

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Solution

The third proportional to 72,636 and 157,335.75 is: 340,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,636 : 157,335.75 = 157,335.75 : x
  2. Step 2: Convert to fraction form
    72,636/157,335.75 = 157,335.75/x
  3. Step 3: Cross multiply
    72,636x = 157,335.75 × 157,335.75
  4. Step 4: Simplify right side
    72,636x = 24,754,538,228.06
  5. Step 5: Solve for x
    x = 24,754,538,228.06/72,636
  6. Step 6: Final answer
    x = 340,802.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.