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Finding the Third Proportional to 73,411.50 and 160,306

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Solution

The third proportional to 73,411.50 and 160,306 is: 350,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,411.50 : 160,306 = 160,306 : x
  2. Step 2: Convert to fraction form
    73,411.50/160,306 = 160,306/x
  3. Step 3: Cross multiply
    73,411.50x = 160,306 × 160,306
  4. Step 4: Simplify right side
    73,411.50x = 25,698,013,636
  5. Step 5: Solve for x
    x = 25,698,013,636/73,411.50
  6. Step 6: Final answer
    x = 350,054.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.