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Finding the Third Proportional to 73,802.25 and 152,856

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Solution

The third proportional to 73,802.25 and 152,856 is: 316,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802.25 : 152,856 = 152,856 : x
  2. Step 2: Convert to fraction form
    73,802.25/152,856 = 152,856/x
  3. Step 3: Cross multiply
    73,802.25x = 152,856 × 152,856
  4. Step 4: Simplify right side
    73,802.25x = 23,364,956,736
  5. Step 5: Solve for x
    x = 23,364,956,736/73,802.25
  6. Step 6: Final answer
    x = 316,588.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.