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Finding the Third Proportional to 144,708 and 312,834

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Solution

The third proportional to 144,708 and 312,834 is: 676,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,708 : 312,834 = 312,834 : x
  2. Step 2: Convert to fraction form
    144,708/312,834 = 312,834/x
  3. Step 3: Cross multiply
    144,708x = 312,834 × 312,834
  4. Step 4: Simplify right side
    144,708x = 97,865,111,556
  5. Step 5: Solve for x
    x = 97,865,111,556/144,708
  6. Step 6: Final answer
    x = 676,293.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.