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Finding the Third Proportional to 314,320 and 678,480

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Solution

The third proportional to 314,320 and 678,480 is: 1,464,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,320 : 678,480 = 678,480 : x
  2. Step 2: Convert to fraction form
    314,320/678,480 = 678,480/x
  3. Step 3: Cross multiply
    314,320x = 678,480 × 678,480
  4. Step 4: Simplify right side
    314,320x = 460,335,110,400
  5. Step 5: Solve for x
    x = 460,335,110,400/314,320
  6. Step 6: Final answer
    x = 1,464,542.86

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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.