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Finding the Third Proportional to 299,215 and 655,658

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Solution

The third proportional to 299,215 and 655,658 is: 1,436,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,215 : 655,658 = 655,658 : x
  2. Step 2: Convert to fraction form
    299,215/655,658 = 655,658/x
  3. Step 3: Cross multiply
    299,215x = 655,658 × 655,658
  4. Step 4: Simplify right side
    299,215x = 429,887,412,964
  5. Step 5: Solve for x
    x = 429,887,412,964/299,215
  6. Step 6: Final answer
    x = 1,436,717.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.