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Finding the Third Proportional to 314,396 and 678,818

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Solution

The third proportional to 314,396 and 678,818 is: 1,465,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,396 : 678,818 = 678,818 : x
  2. Step 2: Convert to fraction form
    314,396/678,818 = 678,818/x
  3. Step 3: Cross multiply
    314,396x = 678,818 × 678,818
  4. Step 4: Simplify right side
    314,396x = 460,793,877,124
  5. Step 5: Solve for x
    x = 460,793,877,124/314,396
  6. Step 6: Final answer
    x = 1,465,648.03

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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.