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Finding the Third Proportional to 609,905 and 1,288,473

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Solution

The third proportional to 609,905 and 1,288,473 is: 2,722,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,905 : 1,288,473 = 1,288,473 : x
  2. Step 2: Convert to fraction form
    609,905/1,288,473 = 1,288,473/x
  3. Step 3: Cross multiply
    609,905x = 1,288,473 × 1,288,473
  4. Step 4: Simplify right side
    609,905x = 1,660,162,671,729
  5. Step 5: Solve for x
    x = 1,660,162,671,729/609,905
  6. Step 6: Final answer
    x = 2,722,002.07

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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.