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Finding the Third Proportional to 679,418 and 1,388,316

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Solution

The third proportional to 679,418 and 1,388,316 is: 2,836,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,418 : 1,388,316 = 1,388,316 : x
  2. Step 2: Convert to fraction form
    679,418/1,388,316 = 1,388,316/x
  3. Step 3: Cross multiply
    679,418x = 1,388,316 × 1,388,316
  4. Step 4: Simplify right side
    679,418x = 1,927,421,315,856
  5. Step 5: Solve for x
    x = 1,927,421,315,856/679,418
  6. Step 6: Final answer
    x = 2,836,871.14

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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.