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Finding the Third Proportional to 313,133 and 685,342

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Solution

The third proportional to 313,133 and 685,342 is: 1,499,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,133 : 685,342 = 685,342 : x
  2. Step 2: Convert to fraction form
    313,133/685,342 = 685,342/x
  3. Step 3: Cross multiply
    313,133x = 685,342 × 685,342
  4. Step 4: Simplify right side
    313,133x = 469,693,656,964
  5. Step 5: Solve for x
    x = 469,693,656,964/313,133
  6. Step 6: Final answer
    x = 1,499,981.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.