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Finding the Third Proportional to 72,356.91 and 103,214.81

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Solution

The third proportional to 72,356.91 and 103,214.81 is: 147,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,356.91 : 103,214.81 = 103,214.81 : x
  2. Step 2: Convert to fraction form
    72,356.91/103,214.81 = 103,214.81/x
  3. Step 3: Cross multiply
    72,356.91x = 103,214.81 × 103,214.81
  4. Step 4: Simplify right side
    72,356.91x = 10,653,297,519.41
  5. Step 5: Solve for x
    x = 10,653,297,519.41/72,356.91
  6. Step 6: Final answer
    x = 147,232.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.