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Finding the Third Proportional to 310,623 and 679,395

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Solution

The third proportional to 310,623 and 679,395 is: 1,485,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,623 : 679,395 = 679,395 : x
  2. Step 2: Convert to fraction form
    310,623/679,395 = 679,395/x
  3. Step 3: Cross multiply
    310,623x = 679,395 × 679,395
  4. Step 4: Simplify right side
    310,623x = 461,577,566,025
  5. Step 5: Solve for x
    x = 461,577,566,025/310,623
  6. Step 6: Final answer
    x = 1,485,973.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.