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Finding the Third Proportional to 144,214 and 312,764

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Solution

The third proportional to 144,214 and 312,764 is: 678,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,214 : 312,764 = 312,764 : x
  2. Step 2: Convert to fraction form
    144,214/312,764 = 312,764/x
  3. Step 3: Cross multiply
    144,214x = 312,764 × 312,764
  4. Step 4: Simplify right side
    144,214x = 97,821,319,696
  5. Step 5: Solve for x
    x = 97,821,319,696/144,214
  6. Step 6: Final answer
    x = 678,306.68

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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.