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Finding the Third Proportional to 457,658 and 683,895

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Solution

The third proportional to 457,658 and 683,895 is: 1,021,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,658 : 683,895 = 683,895 : x
  2. Step 2: Convert to fraction form
    457,658/683,895 = 683,895/x
  3. Step 3: Cross multiply
    457,658x = 683,895 × 683,895
  4. Step 4: Simplify right side
    457,658x = 467,712,371,025
  5. Step 5: Solve for x
    x = 467,712,371,025/457,658
  6. Step 6: Final answer
    x = 1,021,969.18

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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.