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Finding the Third Proportional to 457,329 and 679,362

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Solution

The third proportional to 457,329 and 679,362 is: 1,009,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,329 : 679,362 = 679,362 : x
  2. Step 2: Convert to fraction form
    457,329/679,362 = 679,362/x
  3. Step 3: Cross multiply
    457,329x = 679,362 × 679,362
  4. Step 4: Simplify right side
    457,329x = 461,532,727,044
  5. Step 5: Solve for x
    x = 461,532,727,044/457,329
  6. Step 6: Final answer
    x = 1,009,191.91

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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.