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Finding the Third Proportional to 299,484 and 649,496.25

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Solution

The third proportional to 299,484 and 649,496.25 is: 1,408,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,484 : 649,496.25 = 649,496.25 : x
  2. Step 2: Convert to fraction form
    299,484/649,496.25 = 649,496.25/x
  3. Step 3: Cross multiply
    299,484x = 649,496.25 × 649,496.25
  4. Step 4: Simplify right side
    299,484x = 421,845,378,764.06
  5. Step 5: Solve for x
    x = 421,845,378,764.06/299,484
  6. Step 6: Final answer
    x = 1,408,574.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.