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Finding the Third Proportional to 454,697 and 679,237

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Solution

The third proportional to 454,697 and 679,237 is: 1,014,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,697 : 679,237 = 679,237 : x
  2. Step 2: Convert to fraction form
    454,697/679,237 = 679,237/x
  3. Step 3: Cross multiply
    454,697x = 679,237 × 679,237
  4. Step 4: Simplify right side
    454,697x = 461,362,902,169
  5. Step 5: Solve for x
    x = 461,362,902,169/454,697
  6. Step 6: Final answer
    x = 1,014,660.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.