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Finding the Third Proportional to 455,391 and 679,389

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Solution

The third proportional to 455,391 and 679,389 is: 1,013,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,391 : 679,389 = 679,389 : x
  2. Step 2: Convert to fraction form
    455,391/679,389 = 679,389/x
  3. Step 3: Cross multiply
    455,391x = 679,389 × 679,389
  4. Step 4: Simplify right side
    455,391x = 461,569,413,321
  5. Step 5: Solve for x
    x = 461,569,413,321/455,391
  6. Step 6: Final answer
    x = 1,013,567.27

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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.