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Finding the Third Proportional to 66,148 and 145,465

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Solution

The third proportional to 66,148 and 145,465 is: 319,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,148 : 145,465 = 145,465 : x
  2. Step 2: Convert to fraction form
    66,148/145,465 = 145,465/x
  3. Step 3: Cross multiply
    66,148x = 145,465 × 145,465
  4. Step 4: Simplify right side
    66,148x = 21,160,066,225
  5. Step 5: Solve for x
    x = 21,160,066,225/66,148
  6. Step 6: Final answer
    x = 319,889.74

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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.