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Finding the Third Proportional to 144,210 and 312,756

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Solution

The third proportional to 144,210 and 312,756 is: 678,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,210 : 312,756 = 312,756 : x
  2. Step 2: Convert to fraction form
    144,210/312,756 = 312,756/x
  3. Step 3: Cross multiply
    144,210x = 312,756 × 312,756
  4. Step 4: Simplify right side
    144,210x = 97,816,315,536
  5. Step 5: Solve for x
    x = 97,816,315,536/144,210
  6. Step 6: Final answer
    x = 678,290.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.