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Finding the Third Proportional to 143,544 and 314,304

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Solution

The third proportional to 143,544 and 314,304 is: 688,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,544 : 314,304 = 314,304 : x
  2. Step 2: Convert to fraction form
    143,544/314,304 = 314,304/x
  3. Step 3: Cross multiply
    143,544x = 314,304 × 314,304
  4. Step 4: Simplify right side
    143,544x = 98,787,004,416
  5. Step 5: Solve for x
    x = 98,787,004,416/143,544
  6. Step 6: Final answer
    x = 688,200.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.