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Finding the Third Proportional to 457,294 and 679,307

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Solution

The third proportional to 457,294 and 679,307 is: 1,009,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,294 : 679,307 = 679,307 : x
  2. Step 2: Convert to fraction form
    457,294/679,307 = 679,307/x
  3. Step 3: Cross multiply
    457,294x = 679,307 × 679,307
  4. Step 4: Simplify right side
    457,294x = 461,458,000,249
  5. Step 5: Solve for x
    x = 461,458,000,249/457,294
  6. Step 6: Final answer
    x = 1,009,105.74

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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.