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Finding the Third Proportional to 317,534 and 678,738

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Solution

The third proportional to 317,534 and 678,738 is: 1,450,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,534 : 678,738 = 678,738 : x
  2. Step 2: Convert to fraction form
    317,534/678,738 = 678,738/x
  3. Step 3: Cross multiply
    317,534x = 678,738 × 678,738
  4. Step 4: Simplify right side
    317,534x = 460,685,272,644
  5. Step 5: Solve for x
    x = 460,685,272,644/317,534
  6. Step 6: Final answer
    x = 1,450,821.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.