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Finding the Third Proportional to 66,396 and 144,465

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Solution

The third proportional to 66,396 and 144,465 is: 314,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,396 : 144,465 = 144,465 : x
  2. Step 2: Convert to fraction form
    66,396/144,465 = 144,465/x
  3. Step 3: Cross multiply
    66,396x = 144,465 × 144,465
  4. Step 4: Simplify right side
    66,396x = 20,870,136,225
  5. Step 5: Solve for x
    x = 20,870,136,225/66,396
  6. Step 6: Final answer
    x = 314,328.22

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Why These Related Problems?

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