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Finding the Third Proportional to 315,032 and 679,838

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Solution

The third proportional to 315,032 and 679,838 is: 1,467,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,032 : 679,838 = 679,838 : x
  2. Step 2: Convert to fraction form
    315,032/679,838 = 679,838/x
  3. Step 3: Cross multiply
    315,032x = 679,838 × 679,838
  4. Step 4: Simplify right side
    315,032x = 462,179,706,244
  5. Step 5: Solve for x
    x = 462,179,706,244/315,032
  6. Step 6: Final answer
    x = 1,467,088.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.