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Finding the Third Proportional to 66,145.50 and 145,460.25

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Solution

The third proportional to 66,145.50 and 145,460.25 is: 319,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,145.50 : 145,460.25 = 145,460.25 : x
  2. Step 2: Convert to fraction form
    66,145.50/145,460.25 = 145,460.25/x
  3. Step 3: Cross multiply
    66,145.50x = 145,460.25 × 145,460.25
  4. Step 4: Simplify right side
    66,145.50x = 21,158,684,330.06
  5. Step 5: Solve for x
    x = 21,158,684,330.06/66,145.50
  6. Step 6: Final answer
    x = 319,880.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.