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Finding the Third Proportional to 314,754 and 679,764

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Solution

The third proportional to 314,754 and 679,764 is: 1,468,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,754 : 679,764 = 679,764 : x
  2. Step 2: Convert to fraction form
    314,754/679,764 = 679,764/x
  3. Step 3: Cross multiply
    314,754x = 679,764 × 679,764
  4. Step 4: Simplify right side
    314,754x = 462,079,095,696
  5. Step 5: Solve for x
    x = 462,079,095,696/314,754
  6. Step 6: Final answer
    x = 1,468,064.25

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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.