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Finding the Third Proportional to 649,665 and 1,370,421

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Solution

The third proportional to 649,665 and 1,370,421 is: 2,890,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,665 : 1,370,421 = 1,370,421 : x
  2. Step 2: Convert to fraction form
    649,665/1,370,421 = 1,370,421/x
  3. Step 3: Cross multiply
    649,665x = 1,370,421 × 1,370,421
  4. Step 4: Simplify right side
    649,665x = 1,878,053,717,241
  5. Step 5: Solve for x
    x = 1,878,053,717,241/649,665
  6. Step 6: Final answer
    x = 2,890,803.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.