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Finding the Third Proportional to 310,442 and 679,004

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Solution

The third proportional to 310,442 and 679,004 is: 1,485,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,442 : 679,004 = 679,004 : x
  2. Step 2: Convert to fraction form
    310,442/679,004 = 679,004/x
  3. Step 3: Cross multiply
    310,442x = 679,004 × 679,004
  4. Step 4: Simplify right side
    310,442x = 461,046,432,016
  5. Step 5: Solve for x
    x = 461,046,432,016/310,442
  6. Step 6: Final answer
    x = 1,485,129.05

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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.