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Finding the Third Proportional to 679,416 and 1,388,312

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Solution

The third proportional to 679,416 and 1,388,312 is: 2,836,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,416 : 1,388,312 = 1,388,312 : x
  2. Step 2: Convert to fraction form
    679,416/1,388,312 = 1,388,312/x
  3. Step 3: Cross multiply
    679,416x = 1,388,312 × 1,388,312
  4. Step 4: Simplify right side
    679,416x = 1,927,410,209,344
  5. Step 5: Solve for x
    x = 1,927,410,209,344/679,416
  6. Step 6: Final answer
    x = 2,836,863.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.