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Finding the Third Proportional to 314,248 and 678,698

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Solution

The third proportional to 314,248 and 678,698 is: 1,465,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,248 : 678,698 = 678,698 : x
  2. Step 2: Convert to fraction form
    314,248/678,698 = 678,698/x
  3. Step 3: Cross multiply
    314,248x = 678,698 × 678,698
  4. Step 4: Simplify right side
    314,248x = 460,630,975,204
  5. Step 5: Solve for x
    x = 460,630,975,204/314,248
  6. Step 6: Final answer
    x = 1,465,819.91

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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.