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Finding the Third Proportional to 144,693 and 313,443

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Solution

The third proportional to 144,693 and 313,443 is: 678,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,693 : 313,443 = 313,443 : x
  2. Step 2: Convert to fraction form
    144,693/313,443 = 313,443/x
  3. Step 3: Cross multiply
    144,693x = 313,443 × 313,443
  4. Step 4: Simplify right side
    144,693x = 98,246,514,249
  5. Step 5: Solve for x
    x = 98,246,514,249/144,693
  6. Step 6: Final answer
    x = 678,999.77

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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.