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Finding the Third Proportional to 314,479.13 and 678,751.31

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Solution

The third proportional to 314,479.13 and 678,751.31 is: 1,464,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,479.13 : 678,751.31 = 678,751.31 : x
  2. Step 2: Convert to fraction form
    314,479.13/678,751.31 = 678,751.31/x
  3. Step 3: Cross multiply
    314,479.13x = 678,751.31 × 678,751.31
  4. Step 4: Simplify right side
    314,479.13x = 460,703,344,220.47
  5. Step 5: Solve for x
    x = 460,703,344,220.47/314,479.13
  6. Step 6: Final answer
    x = 1,464,972.74

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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.