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Finding the Third Proportional to 144,590 and 313,308

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Solution

The third proportional to 144,590 and 313,308 is: 678,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,590 : 313,308 = 313,308 : x
  2. Step 2: Convert to fraction form
    144,590/313,308 = 313,308/x
  3. Step 3: Cross multiply
    144,590x = 313,308 × 313,308
  4. Step 4: Simplify right side
    144,590x = 98,161,902,864
  5. Step 5: Solve for x
    x = 98,161,902,864/144,590
  6. Step 6: Final answer
    x = 678,898.28

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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.