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Finding the Third Proportional to 314,640 and 679,368

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Solution

The third proportional to 314,640 and 679,368 is: 1,466,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,640 : 679,368 = 679,368 : x
  2. Step 2: Convert to fraction form
    314,640/679,368 = 679,368/x
  3. Step 3: Cross multiply
    314,640x = 679,368 × 679,368
  4. Step 4: Simplify right side
    314,640x = 461,540,879,424
  5. Step 5: Solve for x
    x = 461,540,879,424/314,640
  6. Step 6: Final answer
    x = 1,466,885.58

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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.